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Finding the Third Proportional to 326,742 and 703,548

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Solution

The third proportional to 326,742 and 703,548 is: 1,514,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,742 : 703,548 = 703,548 : x
  2. Step 2: Convert to fraction form
    326,742/703,548 = 703,548/x
  3. Step 3: Cross multiply
    326,742x = 703,548 × 703,548
  4. Step 4: Simplify right side
    326,742x = 494,979,788,304
  5. Step 5: Solve for x
    x = 494,979,788,304/326,742
  6. Step 6: Final answer
    x = 1,514,894.90

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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.