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Finding the Third Proportional to 268,062.75 and 577,314

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Solution

The third proportional to 268,062.75 and 577,314 is: 1,243,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,062.75 : 577,314 = 577,314 : x
  2. Step 2: Convert to fraction form
    268,062.75/577,314 = 577,314/x
  3. Step 3: Cross multiply
    268,062.75x = 577,314 × 577,314
  4. Step 4: Simplify right side
    268,062.75x = 333,291,454,596
  5. Step 5: Solve for x
    x = 333,291,454,596/268,062.75
  6. Step 6: Final answer
    x = 1,243,333.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.