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Finding the Third Proportional to 187,532 and 442,417

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Solution

The third proportional to 187,532 and 442,417 is: 1,043,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,532 : 442,417 = 442,417 : x
  2. Step 2: Convert to fraction form
    187,532/442,417 = 442,417/x
  3. Step 3: Cross multiply
    187,532x = 442,417 × 442,417
  4. Step 4: Simplify right side
    187,532x = 195,732,801,889
  5. Step 5: Solve for x
    x = 195,732,801,889/187,532
  6. Step 6: Final answer
    x = 1,043,730.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.