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Finding the Third Proportional to 250,609.31 and 584,775.38

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Solution

The third proportional to 250,609.31 and 584,775.38 is: 1,364,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,609.31 : 584,775.38 = 584,775.38 : x
  2. Step 2: Convert to fraction form
    250,609.31/584,775.38 = 584,775.38/x
  3. Step 3: Cross multiply
    250,609.31x = 584,775.38 × 584,775.38
  4. Step 4: Simplify right side
    250,609.31x = 341,962,239,206.39
  5. Step 5: Solve for x
    x = 341,962,239,206.39/250,609.31
  6. Step 6: Final answer
    x = 1,364,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.