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Finding the Third Proportional to 468,063 and 704,778.75

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Solution

The third proportional to 468,063 and 704,778.75 is: 1,061,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,063 : 704,778.75 = 704,778.75 : x
  2. Step 2: Convert to fraction form
    468,063/704,778.75 = 704,778.75/x
  3. Step 3: Cross multiply
    468,063x = 704,778.75 × 704,778.75
  4. Step 4: Simplify right side
    468,063x = 496,713,086,451.56
  5. Step 5: Solve for x
    x = 496,713,086,451.56/468,063
  6. Step 6: Final answer
    x = 1,061,209.89

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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.