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Finding the Third Proportional to 230,865.19 and 498,943.55

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Solution

The third proportional to 230,865.19 and 498,943.55 is: 1,078,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,865.19 : 498,943.55 = 498,943.55 : x
  2. Step 2: Convert to fraction form
    230,865.19/498,943.55 = 498,943.55/x
  3. Step 3: Cross multiply
    230,865.19x = 498,943.55 × 498,943.55
  4. Step 4: Simplify right side
    230,865.19x = 248,944,662,968.21
  5. Step 5: Solve for x
    x = 248,944,662,968.21/230,865.19
  6. Step 6: Final answer
    x = 1,078,311.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.