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Finding the Third Proportional to 317,416 and 465,974

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Solution

The third proportional to 317,416 and 465,974 is: 684,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,416 : 465,974 = 465,974 : x
  2. Step 2: Convert to fraction form
    317,416/465,974 = 465,974/x
  3. Step 3: Cross multiply
    317,416x = 465,974 × 465,974
  4. Step 4: Simplify right side
    317,416x = 217,131,768,676
  5. Step 5: Solve for x
    x = 217,131,768,676/317,416
  6. Step 6: Final answer
    x = 684,060.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.