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Finding the Third Proportional to 313,601 and 473,318

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Solution

The third proportional to 313,601 and 473,318 is: 714,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,601 : 473,318 = 473,318 : x
  2. Step 2: Convert to fraction form
    313,601/473,318 = 473,318/x
  3. Step 3: Cross multiply
    313,601x = 473,318 × 473,318
  4. Step 4: Simplify right side
    313,601x = 224,029,929,124
  5. Step 5: Solve for x
    x = 224,029,929,124/313,601
  6. Step 6: Final answer
    x = 714,378.87

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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.