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Finding the Third Proportional to 325,448 and 503,875

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Solution

The third proportional to 325,448 and 503,875 is: 780,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,448 : 503,875 = 503,875 : x
  2. Step 2: Convert to fraction form
    325,448/503,875 = 503,875/x
  3. Step 3: Cross multiply
    325,448x = 503,875 × 503,875
  4. Step 4: Simplify right side
    325,448x = 253,890,015,625
  5. Step 5: Solve for x
    x = 253,890,015,625/325,448
  6. Step 6: Final answer
    x = 780,124.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.