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Finding the Third Proportional to 317,725.50 and 495,343.50

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Solution

The third proportional to 317,725.50 and 495,343.50 is: 772,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,725.50 : 495,343.50 = 495,343.50 : x
  2. Step 2: Convert to fraction form
    317,725.50/495,343.50 = 495,343.50/x
  3. Step 3: Cross multiply
    317,725.50x = 495,343.50 × 495,343.50
  4. Step 4: Simplify right side
    317,725.50x = 245,365,182,992.25
  5. Step 5: Solve for x
    x = 245,365,182,992.25/317,725.50
  6. Step 6: Final answer
    x = 772,255.24

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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.