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Finding the Third Proportional to 230,320.76 and 498,367.27

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Solution

The third proportional to 230,320.76 and 498,367.27 is: 1,078,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,320.76 : 498,367.27 = 498,367.27 : x
  2. Step 2: Convert to fraction form
    230,320.76/498,367.27 = 498,367.27/x
  3. Step 3: Cross multiply
    230,320.76x = 498,367.27 × 498,367.27
  4. Step 4: Simplify right side
    230,320.76x = 248,369,931,446.54
  5. Step 5: Solve for x
    x = 248,369,931,446.54/230,320.76
  6. Step 6: Final answer
    x = 1,078,365.38

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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.