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Finding the Third Proportional to 312,210 and 736,767

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Solution

The third proportional to 312,210 and 736,767 is: 1,738,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,210 : 736,767 = 736,767 : x
  2. Step 2: Convert to fraction form
    312,210/736,767 = 736,767/x
  3. Step 3: Cross multiply
    312,210x = 736,767 × 736,767
  4. Step 4: Simplify right side
    312,210x = 542,825,612,289
  5. Step 5: Solve for x
    x = 542,825,612,289/312,210
  6. Step 6: Final answer
    x = 1,738,655.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.