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Finding the Third Proportional to 306,986,872 and 472,337,250

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Solution

The third proportional to 306,986,872 and 472,337,250 is: 726,749,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,986,872 : 472,337,250 = 472,337,250 : x
  2. Step 2: Convert to fraction form
    306,986,872/472,337,250 = 472,337,250/x
  3. Step 3: Cross multiply
    306,986,872x = 472,337,250 × 472,337,250
  4. Step 4: Simplify right side
    306,986,872x = 223,102,477,737,562,496
  5. Step 5: Solve for x
    x = 223,102,477,737,562,496/306,986,872
  6. Step 6: Final answer
    x = 726,749,245.93

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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.