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Finding the Third Proportional to 281,796 and 577,395

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Solution

The third proportional to 281,796 and 577,395 is: 1,183,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,796 : 577,395 = 577,395 : x
  2. Step 2: Convert to fraction form
    281,796/577,395 = 577,395/x
  3. Step 3: Cross multiply
    281,796x = 577,395 × 577,395
  4. Step 4: Simplify right side
    281,796x = 333,384,986,025
  5. Step 5: Solve for x
    x = 333,384,986,025/281,796
  6. Step 6: Final answer
    x = 1,183,072.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.