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Finding the Third Proportional to 187,842 and 442,973

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Solution

The third proportional to 187,842 and 442,973 is: 1,044,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,842 : 442,973 = 442,973 : x
  2. Step 2: Convert to fraction form
    187,842/442,973 = 442,973/x
  3. Step 3: Cross multiply
    187,842x = 442,973 × 442,973
  4. Step 4: Simplify right side
    187,842x = 196,225,078,729
  5. Step 5: Solve for x
    x = 196,225,078,729/187,842
  6. Step 6: Final answer
    x = 1,044,628.35

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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.