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Finding the Third Proportional to 313,586 and 473,259

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Solution

The third proportional to 313,586 and 473,259 is: 714,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,586 : 473,259 = 473,259 : x
  2. Step 2: Convert to fraction form
    313,586/473,259 = 473,259/x
  3. Step 3: Cross multiply
    313,586x = 473,259 × 473,259
  4. Step 4: Simplify right side
    313,586x = 223,974,081,081
  5. Step 5: Solve for x
    x = 223,974,081,081/313,586
  6. Step 6: Final answer
    x = 714,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.