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Finding the Third Proportional to 295,514 and 576,259

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Solution

The third proportional to 295,514 and 576,259 is: 1,123,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,514 : 576,259 = 576,259 : x
  2. Step 2: Convert to fraction form
    295,514/576,259 = 576,259/x
  3. Step 3: Cross multiply
    295,514x = 576,259 × 576,259
  4. Step 4: Simplify right side
    295,514x = 332,074,435,081
  5. Step 5: Solve for x
    x = 332,074,435,081/295,514
  6. Step 6: Final answer
    x = 1,123,718.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.