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Finding the Third Proportional to 509,659.50 and 612,073.50

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Solution

The third proportional to 509,659.50 and 612,073.50 is: 735,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,659.50 : 612,073.50 = 612,073.50 : x
  2. Step 2: Convert to fraction form
    509,659.50/612,073.50 = 612,073.50/x
  3. Step 3: Cross multiply
    509,659.50x = 612,073.50 × 612,073.50
  4. Step 4: Simplify right side
    509,659.50x = 374,633,969,402.25
  5. Step 5: Solve for x
    x = 374,633,969,402.25/509,659.50
  6. Step 6: Final answer
    x = 735,067.18

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.