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Finding the Third Proportional to 367,988 and 539,862

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Solution

The third proportional to 367,988 and 539,862 is: 792,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,988 : 539,862 = 539,862 : x
  2. Step 2: Convert to fraction form
    367,988/539,862 = 539,862/x
  3. Step 3: Cross multiply
    367,988x = 539,862 × 539,862
  4. Step 4: Simplify right side
    367,988x = 291,450,979,044
  5. Step 5: Solve for x
    x = 291,450,979,044/367,988
  6. Step 6: Final answer
    x = 792,012.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.