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Finding the Third Proportional to 281,941 and 607,895

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Solution

The third proportional to 281,941 and 607,895 is: 1,310,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,941 : 607,895 = 607,895 : x
  2. Step 2: Convert to fraction form
    281,941/607,895 = 607,895/x
  3. Step 3: Cross multiply
    281,941x = 607,895 × 607,895
  4. Step 4: Simplify right side
    281,941x = 369,536,331,025
  5. Step 5: Solve for x
    x = 369,536,331,025/281,941
  6. Step 6: Final answer
    x = 1,310,686.74

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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.