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Finding the Third Proportional to 830,327.75 and 1,241,168.75

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Solution

The third proportional to 830,327.75 and 1,241,168.75 is: 1,855,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,327.75 : 1,241,168.75 = 1,241,168.75 : x
  2. Step 2: Convert to fraction form
    830,327.75/1,241,168.75 = 1,241,168.75/x
  3. Step 3: Cross multiply
    830,327.75x = 1,241,168.75 × 1,241,168.75
  4. Step 4: Simplify right side
    830,327.75x = 1,540,499,865,976.56
  5. Step 5: Solve for x
    x = 1,540,499,865,976.56/830,327.75
  6. Step 6: Final answer
    x = 1,855,291.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.