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Finding the Third Proportional to 361,867.50 and 532,275.75

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Solution

The third proportional to 361,867.50 and 532,275.75 is: 782,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,867.50 : 532,275.75 = 532,275.75 : x
  2. Step 2: Convert to fraction form
    361,867.50/532,275.75 = 532,275.75/x
  3. Step 3: Cross multiply
    361,867.50x = 532,275.75 × 532,275.75
  4. Step 4: Simplify right side
    361,867.50x = 283,317,474,038.06
  5. Step 5: Solve for x
    x = 283,317,474,038.06/361,867.50
  6. Step 6: Final answer
    x = 782,931.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.