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Finding the Third Proportional to 384,418.13 and 586,109.25

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Solution

The third proportional to 384,418.13 and 586,109.25 is: 893,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,418.13 : 586,109.25 = 586,109.25 : x
  2. Step 2: Convert to fraction form
    384,418.13/586,109.25 = 586,109.25/x
  3. Step 3: Cross multiply
    384,418.13x = 586,109.25 × 586,109.25
  4. Step 4: Simplify right side
    384,418.13x = 343,524,052,935.56
  5. Step 5: Solve for x
    x = 343,524,052,935.56/384,418.13
  6. Step 6: Final answer
    x = 893,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.