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Finding the Third Proportional to 326,867 and 705,373

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Solution

The third proportional to 326,867 and 705,373 is: 1,522,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,867 : 705,373 = 705,373 : x
  2. Step 2: Convert to fraction form
    326,867/705,373 = 705,373/x
  3. Step 3: Cross multiply
    326,867x = 705,373 × 705,373
  4. Step 4: Simplify right side
    326,867x = 497,551,069,129
  5. Step 5: Solve for x
    x = 497,551,069,129/326,867
  6. Step 6: Final answer
    x = 1,522,182.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.