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Finding the Third Proportional to 317,277 and 491,512.50

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Solution

The third proportional to 317,277 and 491,512.50 is: 761,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,277 : 491,512.50 = 491,512.50 : x
  2. Step 2: Convert to fraction form
    317,277/491,512.50 = 491,512.50/x
  3. Step 3: Cross multiply
    317,277x = 491,512.50 × 491,512.50
  4. Step 4: Simplify right side
    317,277x = 241,584,537,656.25
  5. Step 5: Solve for x
    x = 241,584,537,656.25/317,277
  6. Step 6: Final answer
    x = 761,430.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.