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Finding the Third Proportional to 201,705 and 442,769

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Solution

The third proportional to 201,705 and 442,769 is: 971,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705 : 442,769 = 442,769 : x
  2. Step 2: Convert to fraction form
    201,705/442,769 = 442,769/x
  3. Step 3: Cross multiply
    201,705x = 442,769 × 442,769
  4. Step 4: Simplify right side
    201,705x = 196,044,387,361
  5. Step 5: Solve for x
    x = 196,044,387,361/201,705
  6. Step 6: Final answer
    x = 971,936.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.