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Finding the Third Proportional to 324,175 and 520,862.50

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Solution

The third proportional to 324,175 and 520,862.50 is: 836,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,175 : 520,862.50 = 520,862.50 : x
  2. Step 2: Convert to fraction form
    324,175/520,862.50 = 520,862.50/x
  3. Step 3: Cross multiply
    324,175x = 520,862.50 × 520,862.50
  4. Step 4: Simplify right side
    324,175x = 271,297,743,906.25
  5. Step 5: Solve for x
    x = 271,297,743,906.25/324,175
  6. Step 6: Final answer
    x = 836,886.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.