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Finding the Third Proportional to 467,404 and 700,314

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Solution

The third proportional to 467,404 and 700,314 is: 1,049,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,404 : 700,314 = 700,314 : x
  2. Step 2: Convert to fraction form
    467,404/700,314 = 700,314/x
  3. Step 3: Cross multiply
    467,404x = 700,314 × 700,314
  4. Step 4: Simplify right side
    467,404x = 490,439,698,596
  5. Step 5: Solve for x
    x = 490,439,698,596/467,404
  6. Step 6: Final answer
    x = 1,049,284.34

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