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Finding the Third Proportional to 343,508.50 and 756,758

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Solution

The third proportional to 343,508.50 and 756,758 is: 1,667,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,508.50 : 756,758 = 756,758 : x
  2. Step 2: Convert to fraction form
    343,508.50/756,758 = 756,758/x
  3. Step 3: Cross multiply
    343,508.50x = 756,758 × 756,758
  4. Step 4: Simplify right side
    343,508.50x = 572,682,670,564
  5. Step 5: Solve for x
    x = 572,682,670,564/343,508.50
  6. Step 6: Final answer
    x = 1,667,157.20

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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.