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Finding the Third Proportional to 497,598 and 748,893

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Solution

The third proportional to 497,598 and 748,893 is: 1,127,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,598 : 748,893 = 748,893 : x
  2. Step 2: Convert to fraction form
    497,598/748,893 = 748,893/x
  3. Step 3: Cross multiply
    497,598x = 748,893 × 748,893
  4. Step 4: Simplify right side
    497,598x = 560,840,725,449
  5. Step 5: Solve for x
    x = 560,840,725,449/497,598
  6. Step 6: Final answer
    x = 1,127,096.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.