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Finding the Third Proportional to 467,356 and 700,238

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Solution

The third proportional to 467,356 and 700,238 is: 1,049,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,356 : 700,238 = 700,238 : x
  2. Step 2: Convert to fraction form
    467,356/700,238 = 700,238/x
  3. Step 3: Cross multiply
    467,356x = 700,238 × 700,238
  4. Step 4: Simplify right side
    467,356x = 490,333,256,644
  5. Step 5: Solve for x
    x = 490,333,256,644/467,356
  6. Step 6: Final answer
    x = 1,049,164.36

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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.