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Finding the Third Proportional to 325,466,294 and 491,226,096

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Solution

The third proportional to 325,466,294 and 491,226,096 is: 741,407,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,294 : 491,226,096 = 491,226,096 : x
  2. Step 2: Convert to fraction form
    325,466,294/491,226,096 = 491,226,096/x
  3. Step 3: Cross multiply
    325,466,294x = 491,226,096 × 491,226,096
  4. Step 4: Simplify right side
    325,466,294x = 241,303,077,391,401,216
  5. Step 5: Solve for x
    x = 241,303,077,391,401,216/325,466,294
  6. Step 6: Final answer
    x = 741,407,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.