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Finding the Third Proportional to 269,248 and 416,856

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Solution

The third proportional to 269,248 and 416,856 is: 645,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,248 : 416,856 = 416,856 : x
  2. Step 2: Convert to fraction form
    269,248/416,856 = 416,856/x
  3. Step 3: Cross multiply
    269,248x = 416,856 × 416,856
  4. Step 4: Simplify right side
    269,248x = 173,768,924,736
  5. Step 5: Solve for x
    x = 173,768,924,736/269,248
  6. Step 6: Final answer
    x = 645,386.13

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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.