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Finding the Third Proportional to 555,784 and 861,136

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Solution

The third proportional to 555,784 and 861,136 is: 1,334,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,784 : 861,136 = 861,136 : x
  2. Step 2: Convert to fraction form
    555,784/861,136 = 861,136/x
  3. Step 3: Cross multiply
    555,784x = 861,136 × 861,136
  4. Step 4: Simplify right side
    555,784x = 741,555,210,496
  5. Step 5: Solve for x
    x = 741,555,210,496/555,784
  6. Step 6: Final answer
    x = 1,334,250.73

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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.