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Finding the Third Proportional to 252,540 and 542,046

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Solution

The third proportional to 252,540 and 542,046 is: 1,163,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,540 : 542,046 = 542,046 : x
  2. Step 2: Convert to fraction form
    252,540/542,046 = 542,046/x
  3. Step 3: Cross multiply
    252,540x = 542,046 × 542,046
  4. Step 4: Simplify right side
    252,540x = 293,813,866,116
  5. Step 5: Solve for x
    x = 293,813,866,116/252,540
  6. Step 6: Final answer
    x = 1,163,434.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.