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Finding the Third Proportional to 555,744 and 861,072

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Solution

The third proportional to 555,744 and 861,072 is: 1,334,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,744 : 861,072 = 861,072 : x
  2. Step 2: Convert to fraction form
    555,744/861,072 = 861,072/x
  3. Step 3: Cross multiply
    555,744x = 861,072 × 861,072
  4. Step 4: Simplify right side
    555,744x = 741,444,989,184
  5. Step 5: Solve for x
    x = 741,444,989,184/555,744
  6. Step 6: Final answer
    x = 1,334,148.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.