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Finding the Third Proportional to 360,907,407 and 773,612,315

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Solution

The third proportional to 360,907,407 and 773,612,315 is: 1,658,253,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,907,407 : 773,612,315 = 773,612,315 : x
  2. Step 2: Convert to fraction form
    360,907,407/773,612,315 = 773,612,315/x
  3. Step 3: Cross multiply
    360,907,407x = 773,612,315 × 773,612,315
  4. Step 4: Simplify right side
    360,907,407x = 598,476,013,919,659,264
  5. Step 5: Solve for x
    x = 598,476,013,919,659,264/360,907,407
  6. Step 6: Final answer
    x = 1,658,253,619.38

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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.