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Finding the Third Proportional to 361,921.50 and 532,359

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Solution

The third proportional to 361,921.50 and 532,359 is: 783,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,921.50 : 532,359 = 532,359 : x
  2. Step 2: Convert to fraction form
    361,921.50/532,359 = 532,359/x
  3. Step 3: Cross multiply
    361,921.50x = 532,359 × 532,359
  4. Step 4: Simplify right side
    361,921.50x = 283,406,104,881
  5. Step 5: Solve for x
    x = 283,406,104,881/361,921.50
  6. Step 6: Final answer
    x = 783,059.60

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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.