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Finding the Third Proportional to 241,429.99 and 520,226.93

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Solution

The third proportional to 241,429.99 and 520,226.93 is: 1,120,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,429.99 : 520,226.93 = 520,226.93 : x
  2. Step 2: Convert to fraction form
    241,429.99/520,226.93 = 520,226.93/x
  3. Step 3: Cross multiply
    241,429.99x = 520,226.93 × 520,226.93
  4. Step 4: Simplify right side
    241,429.99x = 270,636,058,372.08
  5. Step 5: Solve for x
    x = 270,636,058,372.08/241,429.99
  6. Step 6: Final answer
    x = 1,120,971.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.