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Finding the Third Proportional to 281,941 and 607,894

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Solution

The third proportional to 281,941 and 607,894 is: 1,310,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,941 : 607,894 = 607,894 : x
  2. Step 2: Convert to fraction form
    281,941/607,894 = 607,894/x
  3. Step 3: Cross multiply
    281,941x = 607,894 × 607,894
  4. Step 4: Simplify right side
    281,941x = 369,535,115,236
  5. Step 5: Solve for x
    x = 369,535,115,236/281,941
  6. Step 6: Final answer
    x = 1,310,682.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.