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Finding the Third Proportional to 532,059.75 and 817,773.75

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Solution

The third proportional to 532,059.75 and 817,773.75 is: 1,256,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,059.75 : 817,773.75 = 817,773.75 : x
  2. Step 2: Convert to fraction form
    532,059.75/817,773.75 = 817,773.75/x
  3. Step 3: Cross multiply
    532,059.75x = 817,773.75 × 817,773.75
  4. Step 4: Simplify right side
    532,059.75x = 668,753,906,189.06
  5. Step 5: Solve for x
    x = 668,753,906,189.06/532,059.75
  6. Step 6: Final answer
    x = 1,256,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.