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Finding the Third Proportional to 467,332 and 700,214

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Solution

The third proportional to 467,332 and 700,214 is: 1,049,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,332 : 700,214 = 700,214 : x
  2. Step 2: Convert to fraction form
    467,332/700,214 = 700,214/x
  3. Step 3: Cross multiply
    467,332x = 700,214 × 700,214
  4. Step 4: Simplify right side
    467,332x = 490,299,645,796
  5. Step 5: Solve for x
    x = 490,299,645,796/467,332
  6. Step 6: Final answer
    x = 1,049,146.32

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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.