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Finding the Third Proportional to 408,746.25 and 896,224.50

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Solution

The third proportional to 408,746.25 and 896,224.50 is: 1,965,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,746.25 : 896,224.50 = 896,224.50 : x
  2. Step 2: Convert to fraction form
    408,746.25/896,224.50 = 896,224.50/x
  3. Step 3: Cross multiply
    408,746.25x = 896,224.50 × 896,224.50
  4. Step 4: Simplify right side
    408,746.25x = 803,218,354,400.25
  5. Step 5: Solve for x
    x = 803,218,354,400.25/408,746.25
  6. Step 6: Final answer
    x = 1,965,078.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.