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Finding the Third Proportional to 228,849 and 498,382

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Solution

The third proportional to 228,849 and 498,382 is: 1,085,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,849 : 498,382 = 498,382 : x
  2. Step 2: Convert to fraction form
    228,849/498,382 = 498,382/x
  3. Step 3: Cross multiply
    228,849x = 498,382 × 498,382
  4. Step 4: Simplify right side
    228,849x = 248,384,617,924
  5. Step 5: Solve for x
    x = 248,384,617,924/228,849
  6. Step 6: Final answer
    x = 1,085,364.66

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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.