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Finding the Third Proportional to 431,867 and 891,395.50

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Solution

The third proportional to 431,867 and 891,395.50 is: 1,839,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,867 : 891,395.50 = 891,395.50 : x
  2. Step 2: Convert to fraction form
    431,867/891,395.50 = 891,395.50/x
  3. Step 3: Cross multiply
    431,867x = 891,395.50 × 891,395.50
  4. Step 4: Simplify right side
    431,867x = 794,585,937,420.25
  5. Step 5: Solve for x
    x = 794,585,937,420.25/431,867
  6. Step 6: Final answer
    x = 1,839,885.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.