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Finding the Third Proportional to 325,636.50 and 491,857.50

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Solution

The third proportional to 325,636.50 and 491,857.50 is: 742,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,636.50 : 491,857.50 = 491,857.50 : x
  2. Step 2: Convert to fraction form
    325,636.50/491,857.50 = 491,857.50/x
  3. Step 3: Cross multiply
    325,636.50x = 491,857.50 × 491,857.50
  4. Step 4: Simplify right side
    325,636.50x = 241,923,800,306.25
  5. Step 5: Solve for x
    x = 241,923,800,306.25/325,636.50
  6. Step 6: Final answer
    x = 742,925.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.