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Finding the Third Proportional to 269,376 and 418,248

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Solution

The third proportional to 269,376 and 418,248 is: 649,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,376 : 418,248 = 418,248 : x
  2. Step 2: Convert to fraction form
    269,376/418,248 = 418,248/x
  3. Step 3: Cross multiply
    269,376x = 418,248 × 418,248
  4. Step 4: Simplify right side
    269,376x = 174,931,389,504
  5. Step 5: Solve for x
    x = 174,931,389,504/269,376
  6. Step 6: Final answer
    x = 649,394.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.