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Finding the Third Proportional to 200,873 and 418,389

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Solution

The third proportional to 200,873 and 418,389 is: 871,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873 : 418,389 = 418,389 : x
  2. Step 2: Convert to fraction form
    200,873/418,389 = 418,389/x
  3. Step 3: Cross multiply
    200,873x = 418,389 × 418,389
  4. Step 4: Simplify right side
    200,873x = 175,049,355,321
  5. Step 5: Solve for x
    x = 175,049,355,321/200,873
  6. Step 6: Final answer
    x = 871,442.93

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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.