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Finding the Third Proportional to 187,490 and 416,452

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Solution

The third proportional to 187,490 and 416,452 is: 925,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,490 : 416,452 = 416,452 : x
  2. Step 2: Convert to fraction form
    187,490/416,452 = 416,452/x
  3. Step 3: Cross multiply
    187,490x = 416,452 × 416,452
  4. Step 4: Simplify right side
    187,490x = 173,432,268,304
  5. Step 5: Solve for x
    x = 173,432,268,304/187,490
  6. Step 6: Final answer
    x = 925,021.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.