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Finding the Third Proportional to 384,808.50 and 579,521

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Solution

The third proportional to 384,808.50 and 579,521 is: 872,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,808.50 : 579,521 = 579,521 : x
  2. Step 2: Convert to fraction form
    384,808.50/579,521 = 579,521/x
  3. Step 3: Cross multiply
    384,808.50x = 579,521 × 579,521
  4. Step 4: Simplify right side
    384,808.50x = 335,844,589,441
  5. Step 5: Solve for x
    x = 335,844,589,441/384,808.50
  6. Step 6: Final answer
    x = 872,757.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.