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Finding the Third Proportional to 552,046.50 and 830,835

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Solution

The third proportional to 552,046.50 and 830,835 is: 1,250,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,046.50 : 830,835 = 830,835 : x
  2. Step 2: Convert to fraction form
    552,046.50/830,835 = 830,835/x
  3. Step 3: Cross multiply
    552,046.50x = 830,835 × 830,835
  4. Step 4: Simplify right side
    552,046.50x = 690,286,797,225
  5. Step 5: Solve for x
    x = 690,286,797,225/552,046.50
  6. Step 6: Final answer
    x = 1,250,414.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.