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Finding the Third Proportional to 360,907,417.13 and 773,612,334

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Solution

The third proportional to 360,907,417.13 and 773,612,334 is: 1,658,253,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,417.13 : 773,612,334 = 773,612,334 : x
  2. Step 2: Convert to fraction form
    360,907,417.13/773,612,334 = 773,612,334/x
  3. Step 3: Cross multiply
    360,907,417.13x = 773,612,334 × 773,612,334
  4. Step 4: Simplify right side
    360,907,417.13x = 598,476,043,316,927,616
  5. Step 5: Solve for x
    x = 598,476,043,316,927,616/360,907,417.13
  6. Step 6: Final answer
    x = 1,658,253,654.32

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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.