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Finding the Third Proportional to 467,342 and 700,224

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Solution

The third proportional to 467,342 and 700,224 is: 1,049,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,342 : 700,224 = 700,224 : x
  2. Step 2: Convert to fraction form
    467,342/700,224 = 700,224/x
  3. Step 3: Cross multiply
    467,342x = 700,224 × 700,224
  4. Step 4: Simplify right side
    467,342x = 490,313,650,176
  5. Step 5: Solve for x
    x = 490,313,650,176/467,342
  6. Step 6: Final answer
    x = 1,049,153.83

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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.