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Finding the Third Proportional to 325,440 and 503,864

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Solution

The third proportional to 325,440 and 503,864 is: 780,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,440 : 503,864 = 503,864 : x
  2. Step 2: Convert to fraction form
    325,440/503,864 = 503,864/x
  3. Step 3: Cross multiply
    325,440x = 503,864 × 503,864
  4. Step 4: Simplify right side
    325,440x = 253,878,930,496
  5. Step 5: Solve for x
    x = 253,878,930,496/325,440
  6. Step 6: Final answer
    x = 780,109.79

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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.