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Finding the Third Proportional to 392,458.50 and 532,622.25

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Solution

The third proportional to 392,458.50 and 532,622.25 is: 722,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,458.50 : 532,622.25 = 532,622.25 : x
  2. Step 2: Convert to fraction form
    392,458.50/532,622.25 = 532,622.25/x
  3. Step 3: Cross multiply
    392,458.50x = 532,622.25 × 532,622.25
  4. Step 4: Simplify right side
    392,458.50x = 283,686,461,195.06
  5. Step 5: Solve for x
    x = 283,686,461,195.06/392,458.50
  6. Step 6: Final answer
    x = 722,844.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.