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Finding the Third Proportional to 471,939,060.50 and 656,193,540

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Solution

The third proportional to 471,939,060.50 and 656,193,540 is: 912,384,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,939,060.50 : 656,193,540 = 656,193,540 : x
  2. Step 2: Convert to fraction form
    471,939,060.50/656,193,540 = 656,193,540/x
  3. Step 3: Cross multiply
    471,939,060.50x = 656,193,540 × 656,193,540
  4. Step 4: Simplify right side
    471,939,060.50x = 430,589,961,937,731,584
  5. Step 5: Solve for x
    x = 430,589,961,937,731,584/471,939,060.50
  6. Step 6: Final answer
    x = 912,384,665.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.