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Finding the Third Proportional to 362,092.50 and 532,047

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Solution

The third proportional to 362,092.50 and 532,047 is: 781,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,092.50 : 532,047 = 532,047 : x
  2. Step 2: Convert to fraction form
    362,092.50/532,047 = 532,047/x
  3. Step 3: Cross multiply
    362,092.50x = 532,047 × 532,047
  4. Step 4: Simplify right side
    362,092.50x = 283,074,010,209
  5. Step 5: Solve for x
    x = 283,074,010,209/362,092.50
  6. Step 6: Final answer
    x = 781,772.64

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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.