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Finding the Third Proportional to 253,972 and 542,960

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Solution

The third proportional to 253,972 and 542,960 is: 1,160,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,972 : 542,960 = 542,960 : x
  2. Step 2: Convert to fraction form
    253,972/542,960 = 542,960/x
  3. Step 3: Cross multiply
    253,972x = 542,960 × 542,960
  4. Step 4: Simplify right side
    253,972x = 294,805,561,600
  5. Step 5: Solve for x
    x = 294,805,561,600/253,972
  6. Step 6: Final answer
    x = 1,160,779.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.