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Finding the Third Proportional to 247,442 and 539,044

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Solution

The third proportional to 247,442 and 539,044 is: 1,174,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,442 : 539,044 = 539,044 : x
  2. Step 2: Convert to fraction form
    247,442/539,044 = 539,044/x
  3. Step 3: Cross multiply
    247,442x = 539,044 × 539,044
  4. Step 4: Simplify right side
    247,442x = 290,568,433,936
  5. Step 5: Solve for x
    x = 290,568,433,936/247,442
  6. Step 6: Final answer
    x = 1,174,289.06

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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.