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Finding the Third Proportional to 200,377 and 421,503

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Solution

The third proportional to 200,377 and 421,503 is: 886,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,377 : 421,503 = 421,503 : x
  2. Step 2: Convert to fraction form
    200,377/421,503 = 421,503/x
  3. Step 3: Cross multiply
    200,377x = 421,503 × 421,503
  4. Step 4: Simplify right side
    200,377x = 177,664,779,009
  5. Step 5: Solve for x
    x = 177,664,779,009/200,377
  6. Step 6: Final answer
    x = 886,652.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.