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Finding the Third Proportional to 360,907,406 and 773,612,312

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Solution

The third proportional to 360,907,406 and 773,612,312 is: 1,658,253,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,406 : 773,612,312 = 773,612,312 : x
  2. Step 2: Convert to fraction form
    360,907,406/773,612,312 = 773,612,312/x
  3. Step 3: Cross multiply
    360,907,406x = 773,612,312 × 773,612,312
  4. Step 4: Simplify right side
    360,907,406x = 598,476,009,277,985,280
  5. Step 5: Solve for x
    x = 598,476,009,277,985,280/360,907,406
  6. Step 6: Final answer
    x = 1,658,253,611.12

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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.