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Finding the Third Proportional to 524,773.69 and 742,410.56

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Solution

The third proportional to 524,773.69 and 742,410.56 is: 1,050,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,773.69 : 742,410.56 = 742,410.56 : x
  2. Step 2: Convert to fraction form
    524,773.69/742,410.56 = 742,410.56/x
  3. Step 3: Cross multiply
    524,773.69x = 742,410.56 × 742,410.56
  4. Step 4: Simplify right side
    524,773.69x = 551,173,443,311.57
  5. Step 5: Solve for x
    x = 551,173,443,311.57/524,773.69
  6. Step 6: Final answer
    x = 1,050,306.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.