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Finding the Third Proportional to 323,378,890 and 497,061,809

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Solution

The third proportional to 323,378,890 and 497,061,809 is: 764,027,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,378,890 : 497,061,809 = 497,061,809 : x
  2. Step 2: Convert to fraction form
    323,378,890/497,061,809 = 497,061,809/x
  3. Step 3: Cross multiply
    323,378,890x = 497,061,809 × 497,061,809
  4. Step 4: Simplify right side
    323,378,890x = 247,070,441,966,352,480
  5. Step 5: Solve for x
    x = 247,070,441,966,352,480/323,378,890
  6. Step 6: Final answer
    x = 764,027,738.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.