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Finding the Third Proportional to 221,744.25 and 486,408

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Solution

The third proportional to 221,744.25 and 486,408 is: 1,066,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,744.25 : 486,408 = 486,408 : x
  2. Step 2: Convert to fraction form
    221,744.25/486,408 = 486,408/x
  3. Step 3: Cross multiply
    221,744.25x = 486,408 × 486,408
  4. Step 4: Simplify right side
    221,744.25x = 236,592,742,464
  5. Step 5: Solve for x
    x = 236,592,742,464/221,744.25
  6. Step 6: Final answer
    x = 1,066,962.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.