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Finding the Third Proportional to 365,377,738 and 527,907,734

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Solution

The third proportional to 365,377,738 and 527,907,734 is: 762,735,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,377,738 : 527,907,734 = 527,907,734 : x
  2. Step 2: Convert to fraction form
    365,377,738/527,907,734 = 527,907,734/x
  3. Step 3: Cross multiply
    365,377,738x = 527,907,734 × 527,907,734
  4. Step 4: Simplify right side
    365,377,738x = 278,686,575,617,014,752
  5. Step 5: Solve for x
    x = 278,686,575,617,014,752/365,377,738
  6. Step 6: Final answer
    x = 762,735,510.77

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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.