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Finding the Third Proportional to 262,265,792 and 384,895,600

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Solution

The third proportional to 262,265,792 and 384,895,600 is: 564,864,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,265,792 : 384,895,600 = 384,895,600 : x
  2. Step 2: Convert to fraction form
    262,265,792/384,895,600 = 384,895,600/x
  3. Step 3: Cross multiply
    262,265,792x = 384,895,600 × 384,895,600
  4. Step 4: Simplify right side
    262,265,792x = 148,144,622,899,360,000
  5. Step 5: Solve for x
    x = 148,144,622,899,360,000/262,265,792
  6. Step 6: Final answer
    x = 564,864,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.