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Finding the Third Proportional to 552,524.63 and 830,837.25

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Solution

The third proportional to 552,524.63 and 830,837.25 is: 1,249,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,524.63 : 830,837.25 = 830,837.25 : x
  2. Step 2: Convert to fraction form
    552,524.63/830,837.25 = 830,837.25/x
  3. Step 3: Cross multiply
    552,524.63x = 830,837.25 × 830,837.25
  4. Step 4: Simplify right side
    552,524.63x = 690,290,535,987.56
  5. Step 5: Solve for x
    x = 690,290,535,987.56/552,524.63
  6. Step 6: Final answer
    x = 1,249,338.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.