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Finding the Third Proportional to 597,924 and 873,864

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Solution

The third proportional to 597,924 and 873,864 is: 1,277,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,924 : 873,864 = 873,864 : x
  2. Step 2: Convert to fraction form
    597,924/873,864 = 873,864/x
  3. Step 3: Cross multiply
    597,924x = 873,864 × 873,864
  4. Step 4: Simplify right side
    597,924x = 763,638,290,496
  5. Step 5: Solve for x
    x = 763,638,290,496/597,924
  6. Step 6: Final answer
    x = 1,277,149.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.