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Finding the Third Proportional to 316,034 and 682,850

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Solution

The third proportional to 316,034 and 682,850 is: 1,475,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,034 : 682,850 = 682,850 : x
  2. Step 2: Convert to fraction form
    316,034/682,850 = 682,850/x
  3. Step 3: Cross multiply
    316,034x = 682,850 × 682,850
  4. Step 4: Simplify right side
    316,034x = 466,284,122,500
  5. Step 5: Solve for x
    x = 466,284,122,500/316,034
  6. Step 6: Final answer
    x = 1,475,423.92

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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.