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Finding the Third Proportional to 479,782 and 704,105

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Solution

The third proportional to 479,782 and 704,105 is: 1,033,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,782 : 704,105 = 704,105 : x
  2. Step 2: Convert to fraction form
    479,782/704,105 = 704,105/x
  3. Step 3: Cross multiply
    479,782x = 704,105 × 704,105
  4. Step 4: Simplify right side
    479,782x = 495,763,851,025
  5. Step 5: Solve for x
    x = 495,763,851,025/479,782
  6. Step 6: Final answer
    x = 1,033,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.