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Finding the Third Proportional to 529,593 and 784,099.50

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Solution

The third proportional to 529,593 and 784,099.50 is: 1,160,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,593 : 784,099.50 = 784,099.50 : x
  2. Step 2: Convert to fraction form
    529,593/784,099.50 = 784,099.50/x
  3. Step 3: Cross multiply
    529,593x = 784,099.50 × 784,099.50
  4. Step 4: Simplify right side
    529,593x = 614,812,025,900.25
  5. Step 5: Solve for x
    x = 614,812,025,900.25/529,593
  6. Step 6: Final answer
    x = 1,160,914.18

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.