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Finding the Third Proportional to 247,140 and 542,396

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Solution

The third proportional to 247,140 and 542,396 is: 1,190,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,140 : 542,396 = 542,396 : x
  2. Step 2: Convert to fraction form
    247,140/542,396 = 542,396/x
  3. Step 3: Cross multiply
    247,140x = 542,396 × 542,396
  4. Step 4: Simplify right side
    247,140x = 294,193,420,816
  5. Step 5: Solve for x
    x = 294,193,420,816/247,140
  6. Step 6: Final answer
    x = 1,190,391.77

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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.