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Finding the Third Proportional to 200,489.50 and 417,566

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Solution

The third proportional to 200,489.50 and 417,566 is: 869,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.50 : 417,566 = 417,566 : x
  2. Step 2: Convert to fraction form
    200,489.50/417,566 = 417,566/x
  3. Step 3: Cross multiply
    200,489.50x = 417,566 × 417,566
  4. Step 4: Simplify right side
    200,489.50x = 174,361,364,356
  5. Step 5: Solve for x
    x = 174,361,364,356/200,489.50
  6. Step 6: Final answer
    x = 869,678.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.