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Finding the Third Proportional to 497,565 and 748,845

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Solution

The third proportional to 497,565 and 748,845 is: 1,127,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,565 : 748,845 = 748,845 : x
  2. Step 2: Convert to fraction form
    497,565/748,845 = 748,845/x
  3. Step 3: Cross multiply
    497,565x = 748,845 × 748,845
  4. Step 4: Simplify right side
    497,565x = 560,768,834,025
  5. Step 5: Solve for x
    x = 560,768,834,025/497,565
  6. Step 6: Final answer
    x = 1,127,026.29

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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.