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Finding the Third Proportional to 316,446 and 682,368

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Solution

The third proportional to 316,446 and 682,368 is: 1,471,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,446 : 682,368 = 682,368 : x
  2. Step 2: Convert to fraction form
    316,446/682,368 = 682,368/x
  3. Step 3: Cross multiply
    316,446x = 682,368 × 682,368
  4. Step 4: Simplify right side
    316,446x = 465,626,087,424
  5. Step 5: Solve for x
    x = 465,626,087,424/316,446
  6. Step 6: Final answer
    x = 1,471,423.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.