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Finding the Third Proportional to 334,854 and 726,327

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Solution

The third proportional to 334,854 and 726,327 is: 1,575,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,854 : 726,327 = 726,327 : x
  2. Step 2: Convert to fraction form
    334,854/726,327 = 726,327/x
  3. Step 3: Cross multiply
    334,854x = 726,327 × 726,327
  4. Step 4: Simplify right side
    334,854x = 527,550,910,929
  5. Step 5: Solve for x
    x = 527,550,910,929/334,854
  6. Step 6: Final answer
    x = 1,575,465.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.