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Finding the Third Proportional to 187,466 and 412,323

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Solution

The third proportional to 187,466 and 412,323 is: 906,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,466 : 412,323 = 412,323 : x
  2. Step 2: Convert to fraction form
    187,466/412,323 = 412,323/x
  3. Step 3: Cross multiply
    187,466x = 412,323 × 412,323
  4. Step 4: Simplify right side
    187,466x = 170,010,256,329
  5. Step 5: Solve for x
    x = 170,010,256,329/187,466
  6. Step 6: Final answer
    x = 906,885.82

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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.