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Finding the Third Proportional to 336,867.75 and 495,452.25

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Solution

The third proportional to 336,867.75 and 495,452.25 is: 728,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,867.75 : 495,452.25 = 495,452.25 : x
  2. Step 2: Convert to fraction form
    336,867.75/495,452.25 = 495,452.25/x
  3. Step 3: Cross multiply
    336,867.75x = 495,452.25 × 495,452.25
  4. Step 4: Simplify right side
    336,867.75x = 245,472,932,030.06
  5. Step 5: Solve for x
    x = 245,472,932,030.06/336,867.75
  6. Step 6: Final answer
    x = 728,692.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.