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Finding the Third Proportional to 281,963 and 593,491

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Solution

The third proportional to 281,963 and 593,491 is: 1,249,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,963 : 593,491 = 593,491 : x
  2. Step 2: Convert to fraction form
    281,963/593,491 = 593,491/x
  3. Step 3: Cross multiply
    281,963x = 593,491 × 593,491
  4. Step 4: Simplify right side
    281,963x = 352,231,567,081
  5. Step 5: Solve for x
    x = 352,231,567,081/281,963
  6. Step 6: Final answer
    x = 1,249,212.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.