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Finding the Third Proportional to 250,080 and 532,960

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Solution

The third proportional to 250,080 and 532,960 is: 1,135,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,080 : 532,960 = 532,960 : x
  2. Step 2: Convert to fraction form
    250,080/532,960 = 532,960/x
  3. Step 3: Cross multiply
    250,080x = 532,960 × 532,960
  4. Step 4: Simplify right side
    250,080x = 284,046,361,600
  5. Step 5: Solve for x
    x = 284,046,361,600/250,080
  6. Step 6: Final answer
    x = 1,135,821.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.