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Finding the Third Proportional to 253,984 and 542,959

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Solution

The third proportional to 253,984 and 542,959 is: 1,160,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,984 : 542,959 = 542,959 : x
  2. Step 2: Convert to fraction form
    253,984/542,959 = 542,959/x
  3. Step 3: Cross multiply
    253,984x = 542,959 × 542,959
  4. Step 4: Simplify right side
    253,984x = 294,804,475,681
  5. Step 5: Solve for x
    x = 294,804,475,681/253,984
  6. Step 6: Final answer
    x = 1,160,720.66

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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.