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Finding the Third Proportional to 187,532 and 404,586

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Solution

The third proportional to 187,532 and 404,586 is: 872,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,532 : 404,586 = 404,586 : x
  2. Step 2: Convert to fraction form
    187,532/404,586 = 404,586/x
  3. Step 3: Cross multiply
    187,532x = 404,586 × 404,586
  4. Step 4: Simplify right side
    187,532x = 163,689,831,396
  5. Step 5: Solve for x
    x = 163,689,831,396/187,532
  6. Step 6: Final answer
    x = 872,863.47

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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.