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Finding the Third Proportional to 365,377,758 and 527,907,747

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Solution

The third proportional to 365,377,758 and 527,907,747 is: 762,735,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,377,758 : 527,907,747 = 527,907,747 : x
  2. Step 2: Convert to fraction form
    365,377,758/527,907,747 = 527,907,747/x
  3. Step 3: Cross multiply
    365,377,758x = 527,907,747 × 527,907,747
  4. Step 4: Simplify right side
    365,377,758x = 278,686,589,342,616,000
  5. Step 5: Solve for x
    x = 278,686,589,342,616,000/365,377,758
  6. Step 6: Final answer
    x = 762,735,506.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.