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Finding the Third Proportional to 529,704 and 810,472.50

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Solution

The third proportional to 529,704 and 810,472.50 is: 1,240,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,704 : 810,472.50 = 810,472.50 : x
  2. Step 2: Convert to fraction form
    529,704/810,472.50 = 810,472.50/x
  3. Step 3: Cross multiply
    529,704x = 810,472.50 × 810,472.50
  4. Step 4: Simplify right side
    529,704x = 656,865,673,256.25
  5. Step 5: Solve for x
    x = 656,865,673,256.25/529,704
  6. Step 6: Final answer
    x = 1,240,061.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.