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Finding the Third Proportional to 467,298.75 and 700,161.75

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Solution

The third proportional to 467,298.75 and 700,161.75 is: 1,049,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,298.75 : 700,161.75 = 700,161.75 : x
  2. Step 2: Convert to fraction form
    467,298.75/700,161.75 = 700,161.75/x
  3. Step 3: Cross multiply
    467,298.75x = 700,161.75 × 700,161.75
  4. Step 4: Simplify right side
    467,298.75x = 490,226,476,163.06
  5. Step 5: Solve for x
    x = 490,226,476,163.06/467,298.75
  6. Step 6: Final answer
    x = 1,049,064.39

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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.