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Finding the Third Proportional to 247,050 and 538,708

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Solution

The third proportional to 247,050 and 538,708 is: 1,174,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,050 : 538,708 = 538,708 : x
  2. Step 2: Convert to fraction form
    247,050/538,708 = 538,708/x
  3. Step 3: Cross multiply
    247,050x = 538,708 × 538,708
  4. Step 4: Simplify right side
    247,050x = 290,206,309,264
  5. Step 5: Solve for x
    x = 290,206,309,264/247,050
  6. Step 6: Final answer
    x = 1,174,686.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.