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Finding the Third Proportional to 262,265,794 and 384,895,603

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Solution

The third proportional to 262,265,794 and 384,895,603 is: 564,864,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,265,794 : 384,895,603 = 384,895,603 : x
  2. Step 2: Convert to fraction form
    262,265,794/384,895,603 = 384,895,603/x
  3. Step 3: Cross multiply
    262,265,794x = 384,895,603 × 384,895,603
  4. Step 4: Simplify right side
    262,265,794x = 148,144,625,208,733,600
  5. Step 5: Solve for x
    x = 148,144,625,208,733,600/262,265,794
  6. Step 6: Final answer
    x = 564,864,456.59

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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.