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Finding the Third Proportional to 247,678 and 542,820

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Solution

The third proportional to 247,678 and 542,820 is: 1,189,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,678 : 542,820 = 542,820 : x
  2. Step 2: Convert to fraction form
    247,678/542,820 = 542,820/x
  3. Step 3: Cross multiply
    247,678x = 542,820 × 542,820
  4. Step 4: Simplify right side
    247,678x = 294,653,552,400
  5. Step 5: Solve for x
    x = 294,653,552,400/247,678
  6. Step 6: Final answer
    x = 1,189,663.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.