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Finding the Third Proportional to 472,882.50 and 752,814.50

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Solution

The third proportional to 472,882.50 and 752,814.50 is: 1,198,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,882.50 : 752,814.50 = 752,814.50 : x
  2. Step 2: Convert to fraction form
    472,882.50/752,814.50 = 752,814.50/x
  3. Step 3: Cross multiply
    472,882.50x = 752,814.50 × 752,814.50
  4. Step 4: Simplify right side
    472,882.50x = 566,729,671,410.25
  5. Step 5: Solve for x
    x = 566,729,671,410.25/472,882.50
  6. Step 6: Final answer
    x = 1,198,457.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.