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Finding the Third Proportional to 524,890.13 and 787,191.75

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Solution

The third proportional to 524,890.13 and 787,191.75 is: 1,180,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,890.13 : 787,191.75 = 787,191.75 : x
  2. Step 2: Convert to fraction form
    524,890.13/787,191.75 = 787,191.75/x
  3. Step 3: Cross multiply
    524,890.13x = 787,191.75 × 787,191.75
  4. Step 4: Simplify right side
    524,890.13x = 619,670,851,268.06
  5. Step 5: Solve for x
    x = 619,670,851,268.06/524,890.13
  6. Step 6: Final answer
    x = 1,180,572.51

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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.