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Finding the Third Proportional to 530,593.50 and 1,145,214

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Solution

The third proportional to 530,593.50 and 1,145,214 is: 2,471,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,593.50 : 1,145,214 = 1,145,214 : x
  2. Step 2: Convert to fraction form
    530,593.50/1,145,214 = 1,145,214/x
  3. Step 3: Cross multiply
    530,593.50x = 1,145,214 × 1,145,214
  4. Step 4: Simplify right side
    530,593.50x = 1,311,515,105,796
  5. Step 5: Solve for x
    x = 1,311,515,105,796/530,593.50
  6. Step 6: Final answer
    x = 2,471,788.87

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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.