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Finding the Third Proportional to 228,847.13 and 498,378

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Solution

The third proportional to 228,847.13 and 498,378 is: 1,085,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,847.13 : 498,378 = 498,378 : x
  2. Step 2: Convert to fraction form
    228,847.13/498,378 = 498,378/x
  3. Step 3: Cross multiply
    228,847.13x = 498,378 × 498,378
  4. Step 4: Simplify right side
    228,847.13x = 248,380,630,884
  5. Step 5: Solve for x
    x = 248,380,630,884/228,847.13
  6. Step 6: Final answer
    x = 1,085,356.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.