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Finding the Third Proportional to 252,443 and 540,347.75

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Solution

The third proportional to 252,443 and 540,347.75 is: 1,156,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,443 : 540,347.75 = 540,347.75 : x
  2. Step 2: Convert to fraction form
    252,443/540,347.75 = 540,347.75/x
  3. Step 3: Cross multiply
    252,443x = 540,347.75 × 540,347.75
  4. Step 4: Simplify right side
    252,443x = 291,975,690,930.06
  5. Step 5: Solve for x
    x = 291,975,690,930.06/252,443
  6. Step 6: Final answer
    x = 1,156,600.46

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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.