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Finding the Third Proportional to 225,264 and 400,440

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Solution

The third proportional to 225,264 and 400,440 is: 711,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,264 : 400,440 = 400,440 : x
  2. Step 2: Convert to fraction form
    225,264/400,440 = 400,440/x
  3. Step 3: Cross multiply
    225,264x = 400,440 × 400,440
  4. Step 4: Simplify right side
    225,264x = 160,352,193,600
  5. Step 5: Solve for x
    x = 160,352,193,600/225,264
  6. Step 6: Final answer
    x = 711,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.