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Finding the Third Proportional to 317,714.25 and 495,327.75

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Solution

The third proportional to 317,714.25 and 495,327.75 is: 772,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,714.25 : 495,327.75 = 495,327.75 : x
  2. Step 2: Convert to fraction form
    317,714.25/495,327.75 = 495,327.75/x
  3. Step 3: Cross multiply
    317,714.25x = 495,327.75 × 495,327.75
  4. Step 4: Simplify right side
    317,714.25x = 245,349,579,920.06
  5. Step 5: Solve for x
    x = 245,349,579,920.06/317,714.25
  6. Step 6: Final answer
    x = 772,233.48

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