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Finding the Third Proportional to 497,529 and 747,750

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Solution

The third proportional to 497,529 and 747,750 is: 1,123,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,529 : 747,750 = 747,750 : x
  2. Step 2: Convert to fraction form
    497,529/747,750 = 747,750/x
  3. Step 3: Cross multiply
    497,529x = 747,750 × 747,750
  4. Step 4: Simplify right side
    497,529x = 559,130,062,500
  5. Step 5: Solve for x
    x = 559,130,062,500/497,529
  6. Step 6: Final answer
    x = 1,123,814.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.