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Finding the Third Proportional to 317,416 and 430,601

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Solution

The third proportional to 317,416 and 430,601 is: 584,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,416 : 430,601 = 430,601 : x
  2. Step 2: Convert to fraction form
    317,416/430,601 = 430,601/x
  3. Step 3: Cross multiply
    317,416x = 430,601 × 430,601
  4. Step 4: Simplify right side
    317,416x = 185,417,221,201
  5. Step 5: Solve for x
    x = 185,417,221,201/317,416
  6. Step 6: Final answer
    x = 584,145.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.