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Finding the Third Proportional to 187,464 and 412,319

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Solution

The third proportional to 187,464 and 412,319 is: 906,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,464 : 412,319 = 412,319 : x
  2. Step 2: Convert to fraction form
    187,464/412,319 = 412,319/x
  3. Step 3: Cross multiply
    187,464x = 412,319 × 412,319
  4. Step 4: Simplify right side
    187,464x = 170,006,957,761
  5. Step 5: Solve for x
    x = 170,006,957,761/187,464
  6. Step 6: Final answer
    x = 906,877.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.