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Finding the Third Proportional to 187,545 and 442,446

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Solution

The third proportional to 187,545 and 442,446 is: 1,043,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,545 : 442,446 = 442,446 : x
  2. Step 2: Convert to fraction form
    187,545/442,446 = 442,446/x
  3. Step 3: Cross multiply
    187,545x = 442,446 × 442,446
  4. Step 4: Simplify right side
    187,545x = 195,758,462,916
  5. Step 5: Solve for x
    x = 195,758,462,916/187,545
  6. Step 6: Final answer
    x = 1,043,794.62

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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.