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Finding the Third Proportional to 451,789.50 and 662,593.50

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Solution

The third proportional to 451,789.50 and 662,593.50 is: 971,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,789.50 : 662,593.50 = 662,593.50 : x
  2. Step 2: Convert to fraction form
    451,789.50/662,593.50 = 662,593.50/x
  3. Step 3: Cross multiply
    451,789.50x = 662,593.50 × 662,593.50
  4. Step 4: Simplify right side
    451,789.50x = 439,030,146,242.25
  5. Step 5: Solve for x
    x = 439,030,146,242.25/451,789.50
  6. Step 6: Final answer
    x = 971,758.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.