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Finding the Third Proportional to 600,567.75 and 1,321,456.50

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Solution

The third proportional to 600,567.75 and 1,321,456.50 is: 2,907,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,567.75 : 1,321,456.50 = 1,321,456.50 : x
  2. Step 2: Convert to fraction form
    600,567.75/1,321,456.50 = 1,321,456.50/x
  3. Step 3: Cross multiply
    600,567.75x = 1,321,456.50 × 1,321,456.50
  4. Step 4: Simplify right side
    600,567.75x = 1,746,247,281,392.25
  5. Step 5: Solve for x
    x = 1,746,247,281,392.25/600,567.75
  6. Step 6: Final answer
    x = 2,907,660.76

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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.