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Finding the Third Proportional to 535,635.50 and 830,061.75

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Solution

The third proportional to 535,635.50 and 830,061.75 is: 1,286,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,635.50 : 830,061.75 = 830,061.75 : x
  2. Step 2: Convert to fraction form
    535,635.50/830,061.75 = 830,061.75/x
  3. Step 3: Cross multiply
    535,635.50x = 830,061.75 × 830,061.75
  4. Step 4: Simplify right side
    535,635.50x = 689,002,508,813.06
  5. Step 5: Solve for x
    x = 689,002,508,813.06/535,635.50
  6. Step 6: Final answer
    x = 1,286,327.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.