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Finding the Third Proportional to 229,352 and 486,568

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Solution

The third proportional to 229,352 and 486,568 is: 1,032,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,352 : 486,568 = 486,568 : x
  2. Step 2: Convert to fraction form
    229,352/486,568 = 486,568/x
  3. Step 3: Cross multiply
    229,352x = 486,568 × 486,568
  4. Step 4: Simplify right side
    229,352x = 236,748,418,624
  5. Step 5: Solve for x
    x = 236,748,418,624/229,352
  6. Step 6: Final answer
    x = 1,032,249.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.