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Finding the Third Proportional to 360,907,408 and 773,612,316

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Solution

The third proportional to 360,907,408 and 773,612,316 is: 1,658,253,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,408 : 773,612,316 = 773,612,316 : x
  2. Step 2: Convert to fraction form
    360,907,408/773,612,316 = 773,612,316/x
  3. Step 3: Cross multiply
    360,907,408x = 773,612,316 × 773,612,316
  4. Step 4: Simplify right side
    360,907,408x = 598,476,015,466,883,840
  5. Step 5: Solve for x
    x = 598,476,015,466,883,840/360,907,408
  6. Step 6: Final answer
    x = 1,658,253,619.07

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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.