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Finding the Third Proportional to 361,806.75 and 795,784.50

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Solution

The third proportional to 361,806.75 and 795,784.50 is: 1,750,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,806.75 : 795,784.50 = 795,784.50 : x
  2. Step 2: Convert to fraction form
    361,806.75/795,784.50 = 795,784.50/x
  3. Step 3: Cross multiply
    361,806.75x = 795,784.50 × 795,784.50
  4. Step 4: Simplify right side
    361,806.75x = 633,272,970,440.25
  5. Step 5: Solve for x
    x = 633,272,970,440.25/361,806.75
  6. Step 6: Final answer
    x = 1,750,307.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.