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Finding the Third Proportional to 600,331.50 and 842,268.38

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Solution

The third proportional to 600,331.50 and 842,268.38 is: 1,181,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,331.50 : 842,268.38 = 842,268.38 : x
  2. Step 2: Convert to fraction form
    600,331.50/842,268.38 = 842,268.38/x
  3. Step 3: Cross multiply
    600,331.50x = 842,268.38 × 842,268.38
  4. Step 4: Simplify right side
    600,331.50x = 709,416,015,525.14
  5. Step 5: Solve for x
    x = 709,416,015,525.14/600,331.50
  6. Step 6: Final answer
    x = 1,181,707.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.