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Finding the Third Proportional to 362,163 and 532,732.50

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Solution

The third proportional to 362,163 and 532,732.50 is: 783,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,163 : 532,732.50 = 532,732.50 : x
  2. Step 2: Convert to fraction form
    362,163/532,732.50 = 532,732.50/x
  3. Step 3: Cross multiply
    362,163x = 532,732.50 × 532,732.50
  4. Step 4: Simplify right side
    362,163x = 283,803,916,556.25
  5. Step 5: Solve for x
    x = 283,803,916,556.25/362,163
  6. Step 6: Final answer
    x = 783,635.87

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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.