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Finding the Third Proportional to 281,025 and 428,540

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Solution

The third proportional to 281,025 and 428,540 is: 653,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,025 : 428,540 = 428,540 : x
  2. Step 2: Convert to fraction form
    281,025/428,540 = 428,540/x
  3. Step 3: Cross multiply
    281,025x = 428,540 × 428,540
  4. Step 4: Simplify right side
    281,025x = 183,646,531,600
  5. Step 5: Solve for x
    x = 183,646,531,600/281,025
  6. Step 6: Final answer
    x = 653,488.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.