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Finding the Third Proportional to 312,006 and 687,756

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Solution

The third proportional to 312,006 and 687,756 is: 1,516,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006 : 687,756 = 687,756 : x
  2. Step 2: Convert to fraction form
    312,006/687,756 = 687,756/x
  3. Step 3: Cross multiply
    312,006x = 687,756 × 687,756
  4. Step 4: Simplify right side
    312,006x = 473,008,315,536
  5. Step 5: Solve for x
    x = 473,008,315,536/312,006
  6. Step 6: Final answer
    x = 1,516,023.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.