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Finding the Third Proportional to 325,580 and 703,797

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Solution

The third proportional to 325,580 and 703,797 is: 1,521,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,580 : 703,797 = 703,797 : x
  2. Step 2: Convert to fraction form
    325,580/703,797 = 703,797/x
  3. Step 3: Cross multiply
    325,580x = 703,797 × 703,797
  4. Step 4: Simplify right side
    325,580x = 495,330,217,209
  5. Step 5: Solve for x
    x = 495,330,217,209/325,580
  6. Step 6: Final answer
    x = 1,521,377.90

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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.