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Finding the Third Proportional to 243,626 and 542,614

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Solution

The third proportional to 243,626 and 542,614 is: 1,208,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,626 : 542,614 = 542,614 : x
  2. Step 2: Convert to fraction form
    243,626/542,614 = 542,614/x
  3. Step 3: Cross multiply
    243,626x = 542,614 × 542,614
  4. Step 4: Simplify right side
    243,626x = 294,429,952,996
  5. Step 5: Solve for x
    x = 294,429,952,996/243,626
  6. Step 6: Final answer
    x = 1,208,532.56

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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.