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Finding the Third Proportional to 555,096 and 878,136

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Solution

The third proportional to 555,096 and 878,136 is: 1,389,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,096 : 878,136 = 878,136 : x
  2. Step 2: Convert to fraction form
    555,096/878,136 = 878,136/x
  3. Step 3: Cross multiply
    555,096x = 878,136 × 878,136
  4. Step 4: Simplify right side
    555,096x = 771,122,834,496
  5. Step 5: Solve for x
    x = 771,122,834,496/555,096
  6. Step 6: Final answer
    x = 1,389,170.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.