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Finding the Third Proportional to 623 and 1,214.50

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Solution

The third proportional to 623 and 1,214.50 is: 2,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623 : 1,214.50 = 1,214.50 : x
  2. Step 2: Convert to fraction form
    623/1,214.50 = 1,214.50/x
  3. Step 3: Cross multiply
    623x = 1,214.50 × 1,214.50
  4. Step 4: Simplify right side
    623x = 1,475,010.25
  5. Step 5: Solve for x
    x = 1,475,010.25/623
  6. Step 6: Final answer
    x = 2,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.