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Finding the Third Proportional to 326,008.13 and 700,218

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Solution

The third proportional to 326,008.13 and 700,218 is: 1,503,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,008.13 : 700,218 = 700,218 : x
  2. Step 2: Convert to fraction form
    326,008.13/700,218 = 700,218/x
  3. Step 3: Cross multiply
    326,008.13x = 700,218 × 700,218
  4. Step 4: Simplify right side
    326,008.13x = 490,305,247,524
  5. Step 5: Solve for x
    x = 490,305,247,524/326,008.13
  6. Step 6: Final answer
    x = 1,503,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.