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Finding the Third Proportional to 362,110.50 and 532,072.13

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Solution

The third proportional to 362,110.50 and 532,072.13 is: 781,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,110.50 : 532,072.13 = 532,072.13 : x
  2. Step 2: Convert to fraction form
    362,110.50/532,072.13 = 532,072.13/x
  3. Step 3: Cross multiply
    362,110.50x = 532,072.13 × 532,072.13
  4. Step 4: Simplify right side
    362,110.50x = 283,100,746,202.02
  5. Step 5: Solve for x
    x = 283,100,746,202.02/362,110.50
  6. Step 6: Final answer
    x = 781,807.61

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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.