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Finding the Third Proportional to 342,768 and 527,184

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Solution

The third proportional to 342,768 and 527,184 is: 810,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768 : 527,184 = 527,184 : x
  2. Step 2: Convert to fraction form
    342,768/527,184 = 527,184/x
  3. Step 3: Cross multiply
    342,768x = 527,184 × 527,184
  4. Step 4: Simplify right side
    342,768x = 277,922,969,856
  5. Step 5: Solve for x
    x = 277,922,969,856/342,768
  6. Step 6: Final answer
    x = 810,819.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.