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Finding the Third Proportional to 497,962 and 752,872.50

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Solution

The third proportional to 497,962 and 752,872.50 is: 1,138,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,962 : 752,872.50 = 752,872.50 : x
  2. Step 2: Convert to fraction form
    497,962/752,872.50 = 752,872.50/x
  3. Step 3: Cross multiply
    497,962x = 752,872.50 × 752,872.50
  4. Step 4: Simplify right side
    497,962x = 566,817,001,256.25
  5. Step 5: Solve for x
    x = 566,817,001,256.25/497,962
  6. Step 6: Final answer
    x = 1,138,273.61

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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.