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Finding the Third Proportional to 228,210.75 and 486,951.75

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Solution

The third proportional to 228,210.75 and 486,951.75 is: 1,039,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,210.75 : 486,951.75 = 486,951.75 : x
  2. Step 2: Convert to fraction form
    228,210.75/486,951.75 = 486,951.75/x
  3. Step 3: Cross multiply
    228,210.75x = 486,951.75 × 486,951.75
  4. Step 4: Simplify right side
    228,210.75x = 237,122,006,828.06
  5. Step 5: Solve for x
    x = 237,122,006,828.06/228,210.75
  6. Step 6: Final answer
    x = 1,039,048.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.