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Finding the Third Proportional to 358,766 and 769,048

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Solution

The third proportional to 358,766 and 769,048 is: 1,648,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,766 : 769,048 = 769,048 : x
  2. Step 2: Convert to fraction form
    358,766/769,048 = 769,048/x
  3. Step 3: Cross multiply
    358,766x = 769,048 × 769,048
  4. Step 4: Simplify right side
    358,766x = 591,434,826,304
  5. Step 5: Solve for x
    x = 591,434,826,304/358,766
  6. Step 6: Final answer
    x = 1,648,525.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.