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Finding the Third Proportional to 467,344 and 700,220

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Solution

The third proportional to 467,344 and 700,220 is: 1,049,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,344 : 700,220 = 700,220 : x
  2. Step 2: Convert to fraction form
    467,344/700,220 = 700,220/x
  3. Step 3: Cross multiply
    467,344x = 700,220 × 700,220
  4. Step 4: Simplify right side
    467,344x = 490,308,048,400
  5. Step 5: Solve for x
    x = 490,308,048,400/467,344
  6. Step 6: Final answer
    x = 1,049,137.36

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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.