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Finding the Third Proportional to 200,523 and 417,632

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Solution

The third proportional to 200,523 and 417,632 is: 869,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523 : 417,632 = 417,632 : x
  2. Step 2: Convert to fraction form
    200,523/417,632 = 417,632/x
  3. Step 3: Cross multiply
    200,523x = 417,632 × 417,632
  4. Step 4: Simplify right side
    200,523x = 174,416,487,424
  5. Step 5: Solve for x
    x = 174,416,487,424/200,523
  6. Step 6: Final answer
    x = 869,807.89

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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.