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Finding the Third Proportional to 467,333 and 700,215

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Solution

The third proportional to 467,333 and 700,215 is: 1,049,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,333 : 700,215 = 700,215 : x
  2. Step 2: Convert to fraction form
    467,333/700,215 = 700,215/x
  3. Step 3: Cross multiply
    467,333x = 700,215 × 700,215
  4. Step 4: Simplify right side
    467,333x = 490,301,046,225
  5. Step 5: Solve for x
    x = 490,301,046,225/467,333
  6. Step 6: Final answer
    x = 1,049,147.07

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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.