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Finding the Third Proportional to 269,458.50 and 374,656.50

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Solution

The third proportional to 269,458.50 and 374,656.50 is: 520,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,458.50 : 374,656.50 = 374,656.50 : x
  2. Step 2: Convert to fraction form
    269,458.50/374,656.50 = 374,656.50/x
  3. Step 3: Cross multiply
    269,458.50x = 374,656.50 × 374,656.50
  4. Step 4: Simplify right side
    269,458.50x = 140,367,492,992.25
  5. Step 5: Solve for x
    x = 140,367,492,992.25/269,458.50
  6. Step 6: Final answer
    x = 520,924.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.