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Finding the Third Proportional to 467,320 and 700,188

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Solution

The third proportional to 467,320 and 700,188 is: 1,049,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,320 : 700,188 = 700,188 : x
  2. Step 2: Convert to fraction form
    467,320/700,188 = 700,188/x
  3. Step 3: Cross multiply
    467,320x = 700,188 × 700,188
  4. Step 4: Simplify right side
    467,320x = 490,263,235,344
  5. Step 5: Solve for x
    x = 490,263,235,344/467,320
  6. Step 6: Final answer
    x = 1,049,095.34

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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.