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Finding the Third Proportional to 324,176.06 and 520,862.63

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Solution

The third proportional to 324,176.06 and 520,862.63 is: 836,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,176.06 : 520,862.63 = 520,862.63 : x
  2. Step 2: Convert to fraction form
    324,176.06/520,862.63 = 520,862.63/x
  3. Step 3: Cross multiply
    324,176.06x = 520,862.63 × 520,862.63
  4. Step 4: Simplify right side
    324,176.06x = 271,297,874,121.89
  5. Step 5: Solve for x
    x = 271,297,874,121.89/324,176.06
  6. Step 6: Final answer
    x = 836,884.35

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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.