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Finding the Third Proportional to 327,120,971 and 490,920,934

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Solution

The third proportional to 327,120,971 and 490,920,934 is: 736,740,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,120,971 : 490,920,934 = 490,920,934 : x
  2. Step 2: Convert to fraction form
    327,120,971/490,920,934 = 490,920,934/x
  3. Step 3: Cross multiply
    327,120,971x = 490,920,934 × 490,920,934
  4. Step 4: Simplify right side
    327,120,971x = 241,003,363,439,432,352
  5. Step 5: Solve for x
    x = 241,003,363,439,432,352/327,120,971
  6. Step 6: Final answer
    x = 736,740,792.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.