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Finding the Third Proportional to 247,918 and 542,546

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Solution

The third proportional to 247,918 and 542,546 is: 1,187,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,918 : 542,546 = 542,546 : x
  2. Step 2: Convert to fraction form
    247,918/542,546 = 542,546/x
  3. Step 3: Cross multiply
    247,918x = 542,546 × 542,546
  4. Step 4: Simplify right side
    247,918x = 294,356,162,116
  5. Step 5: Solve for x
    x = 294,356,162,116/247,918
  6. Step 6: Final answer
    x = 1,187,312.59

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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.