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Finding the Third Proportional to 381,367.13 and 576,970.88

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Solution

The third proportional to 381,367.13 and 576,970.88 is: 872,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,367.13 : 576,970.88 = 576,970.88 : x
  2. Step 2: Convert to fraction form
    381,367.13/576,970.88 = 576,970.88/x
  3. Step 3: Cross multiply
    381,367.13x = 576,970.88 × 576,970.88
  4. Step 4: Simplify right side
    381,367.13x = 332,895,390,598.27
  5. Step 5: Solve for x
    x = 332,895,390,598.27/381,367.13
  6. Step 6: Final answer
    x = 872,900.07

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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.