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Finding the Third Proportional to 371,136 and 576,108

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Solution

The third proportional to 371,136 and 576,108 is: 894,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,136 : 576,108 = 576,108 : x
  2. Step 2: Convert to fraction form
    371,136/576,108 = 576,108/x
  3. Step 3: Cross multiply
    371,136x = 576,108 × 576,108
  4. Step 4: Simplify right side
    371,136x = 331,900,427,664
  5. Step 5: Solve for x
    x = 331,900,427,664/371,136
  6. Step 6: Final answer
    x = 894,282.49

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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.