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Finding the Third Proportional to 187,464 and 404,870

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Solution

The third proportional to 187,464 and 404,870 is: 874,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,464 : 404,870 = 404,870 : x
  2. Step 2: Convert to fraction form
    187,464/404,870 = 404,870/x
  3. Step 3: Cross multiply
    187,464x = 404,870 × 404,870
  4. Step 4: Simplify right side
    187,464x = 163,919,716,900
  5. Step 5: Solve for x
    x = 163,919,716,900/187,464
  6. Step 6: Final answer
    x = 874,406.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.