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Finding the Third Proportional to 360,907,403.20 and 773,612,306.72

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Solution

The third proportional to 360,907,403.20 and 773,612,306.72 is: 1,658,253,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,403.20 : 773,612,306.72 = 773,612,306.72 : x
  2. Step 2: Convert to fraction form
    360,907,403.20/773,612,306.72 = 773,612,306.72/x
  3. Step 3: Cross multiply
    360,907,403.20x = 773,612,306.72 × 773,612,306.72
  4. Step 4: Simplify right side
    360,907,403.20x = 598,476,001,106,705,280
  5. Step 5: Solve for x
    x = 598,476,001,106,705,280/360,907,403.20
  6. Step 6: Final answer
    x = 1,658,253,601.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.