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Finding the Third Proportional to 495,203.25 and 1,085,055.75

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Solution

The third proportional to 495,203.25 and 1,085,055.75 is: 2,377,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,203.25 : 1,085,055.75 = 1,085,055.75 : x
  2. Step 2: Convert to fraction form
    495,203.25/1,085,055.75 = 1,085,055.75/x
  3. Step 3: Cross multiply
    495,203.25x = 1,085,055.75 × 1,085,055.75
  4. Step 4: Simplify right side
    495,203.25x = 1,177,345,980,608.06
  5. Step 5: Solve for x
    x = 1,177,345,980,608.06/495,203.25
  6. Step 6: Final answer
    x = 2,377,500.51

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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.