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Finding the Third Proportional to 243,624 and 542,610

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Solution

The third proportional to 243,624 and 542,610 is: 1,208,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,624 : 542,610 = 542,610 : x
  2. Step 2: Convert to fraction form
    243,624/542,610 = 542,610/x
  3. Step 3: Cross multiply
    243,624x = 542,610 × 542,610
  4. Step 4: Simplify right side
    243,624x = 294,425,612,100
  5. Step 5: Solve for x
    x = 294,425,612,100/243,624
  6. Step 6: Final answer
    x = 1,208,524.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.