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Finding the Third Proportional to 362,120 and 532,080

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Solution

The third proportional to 362,120 and 532,080 is: 781,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,120 : 532,080 = 532,080 : x
  2. Step 2: Convert to fraction form
    362,120/532,080 = 532,080/x
  3. Step 3: Cross multiply
    362,120x = 532,080 × 532,080
  4. Step 4: Simplify right side
    362,120x = 283,109,126,400
  5. Step 5: Solve for x
    x = 283,109,126,400/362,120
  6. Step 6: Final answer
    x = 781,810.25

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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.