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Finding the Third Proportional to 365,377,752 and 527,907,756

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Solution

The third proportional to 365,377,752 and 527,907,756 is: 762,735,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,377,752 : 527,907,756 = 527,907,756 : x
  2. Step 2: Convert to fraction form
    365,377,752/527,907,756 = 527,907,756/x
  3. Step 3: Cross multiply
    365,377,752x = 527,907,756 × 527,907,756
  4. Step 4: Simplify right side
    365,377,752x = 278,686,598,844,955,520
  5. Step 5: Solve for x
    x = 278,686,598,844,955,520/365,377,752
  6. Step 6: Final answer
    x = 762,735,545.12

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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.