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Finding the Third Proportional to 317,718 and 495,333

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Solution

The third proportional to 317,718 and 495,333 is: 772,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,718 : 495,333 = 495,333 : x
  2. Step 2: Convert to fraction form
    317,718/495,333 = 495,333/x
  3. Step 3: Cross multiply
    317,718x = 495,333 × 495,333
  4. Step 4: Simplify right side
    317,718x = 245,354,780,889
  5. Step 5: Solve for x
    x = 245,354,780,889/317,718
  6. Step 6: Final answer
    x = 772,240.73

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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.