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Finding the Third Proportional to 250,256.25 and 539,873.25

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Solution

The third proportional to 250,256.25 and 539,873.25 is: 1,164,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,256.25 : 539,873.25 = 539,873.25 : x
  2. Step 2: Convert to fraction form
    250,256.25/539,873.25 = 539,873.25/x
  3. Step 3: Cross multiply
    250,256.25x = 539,873.25 × 539,873.25
  4. Step 4: Simplify right side
    250,256.25x = 291,463,126,065.56
  5. Step 5: Solve for x
    x = 291,463,126,065.56/250,256.25
  6. Step 6: Final answer
    x = 1,164,658.73

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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.