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Finding the Third Proportional to 187,829 and 442,943

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Solution

The third proportional to 187,829 and 442,943 is: 1,044,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,829 : 442,943 = 442,943 : x
  2. Step 2: Convert to fraction form
    187,829/442,943 = 442,943/x
  3. Step 3: Cross multiply
    187,829x = 442,943 × 442,943
  4. Step 4: Simplify right side
    187,829x = 196,198,501,249
  5. Step 5: Solve for x
    x = 196,198,501,249/187,829
  6. Step 6: Final answer
    x = 1,044,559.15

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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.