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Finding the Third Proportional to 187,846 and 411,508

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Solution

The third proportional to 187,846 and 411,508 is: 901,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,846 : 411,508 = 411,508 : x
  2. Step 2: Convert to fraction form
    187,846/411,508 = 411,508/x
  3. Step 3: Cross multiply
    187,846x = 411,508 × 411,508
  4. Step 4: Simplify right side
    187,846x = 169,338,834,064
  5. Step 5: Solve for x
    x = 169,338,834,064/187,846
  6. Step 6: Final answer
    x = 901,476.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.