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Finding the Third Proportional to 311,209.50 and 480,634.50

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Solution

The third proportional to 311,209.50 and 480,634.50 is: 742,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,209.50 : 480,634.50 = 480,634.50 : x
  2. Step 2: Convert to fraction form
    311,209.50/480,634.50 = 480,634.50/x
  3. Step 3: Cross multiply
    311,209.50x = 480,634.50 × 480,634.50
  4. Step 4: Simplify right side
    311,209.50x = 231,009,522,590.25
  5. Step 5: Solve for x
    x = 231,009,522,590.25/311,209.50
  6. Step 6: Final answer
    x = 742,295.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.