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Finding the Third Proportional to 423,388.50 and 913,251

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Solution

The third proportional to 423,388.50 and 913,251 is: 1,969,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,388.50 : 913,251 = 913,251 : x
  2. Step 2: Convert to fraction form
    423,388.50/913,251 = 913,251/x
  3. Step 3: Cross multiply
    423,388.50x = 913,251 × 913,251
  4. Step 4: Simplify right side
    423,388.50x = 834,027,389,001
  5. Step 5: Solve for x
    x = 834,027,389,001/423,388.50
  6. Step 6: Final answer
    x = 1,969,886.73

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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.