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Finding the Third Proportional to 358,764 and 769,044

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Solution

The third proportional to 358,764 and 769,044 is: 1,648,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,764 : 769,044 = 769,044 : x
  2. Step 2: Convert to fraction form
    358,764/769,044 = 769,044/x
  3. Step 3: Cross multiply
    358,764x = 769,044 × 769,044
  4. Step 4: Simplify right side
    358,764x = 591,428,673,936
  5. Step 5: Solve for x
    x = 591,428,673,936/358,764
  6. Step 6: Final answer
    x = 1,648,517.34

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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.