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Finding the Third Proportional to 317,324.25 and 495,294.75

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Solution

The third proportional to 317,324.25 and 495,294.75 is: 773,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,324.25 : 495,294.75 = 495,294.75 : x
  2. Step 2: Convert to fraction form
    317,324.25/495,294.75 = 495,294.75/x
  3. Step 3: Cross multiply
    317,324.25x = 495,294.75 × 495,294.75
  4. Step 4: Simplify right side
    317,324.25x = 245,316,889,377.56
  5. Step 5: Solve for x
    x = 245,316,889,377.56/317,324.25
  6. Step 6: Final answer
    x = 773,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.