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Finding the Third Proportional to 362,097 and 532,053

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Solution

The third proportional to 362,097 and 532,053 is: 781,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,097 : 532,053 = 532,053 : x
  2. Step 2: Convert to fraction form
    362,097/532,053 = 532,053/x
  3. Step 3: Cross multiply
    362,097x = 532,053 × 532,053
  4. Step 4: Simplify right side
    362,097x = 283,080,394,809
  5. Step 5: Solve for x
    x = 283,080,394,809/362,097
  6. Step 6: Final answer
    x = 781,780.56

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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.