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Finding the Third Proportional to 326,729 and 703,522

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Solution

The third proportional to 326,729 and 703,522 is: 1,514,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,729 : 703,522 = 703,522 : x
  2. Step 2: Convert to fraction form
    326,729/703,522 = 703,522/x
  3. Step 3: Cross multiply
    326,729x = 703,522 × 703,522
  4. Step 4: Simplify right side
    326,729x = 494,943,204,484
  5. Step 5: Solve for x
    x = 494,943,204,484/326,729
  6. Step 6: Final answer
    x = 1,514,843.20

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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.