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Finding the Third Proportional to 313,292 and 504,452

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Solution

The third proportional to 313,292 and 504,452 is: 812,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,292 : 504,452 = 504,452 : x
  2. Step 2: Convert to fraction form
    313,292/504,452 = 504,452/x
  3. Step 3: Cross multiply
    313,292x = 504,452 × 504,452
  4. Step 4: Simplify right side
    313,292x = 254,471,820,304
  5. Step 5: Solve for x
    x = 254,471,820,304/313,292
  6. Step 6: Final answer
    x = 812,251.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.