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Finding the Third Proportional to 414,409.80 and 619,058.22

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Solution

The third proportional to 414,409.80 and 619,058.22 is: 924,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,409.80 : 619,058.22 = 619,058.22 : x
  2. Step 2: Convert to fraction form
    414,409.80/619,058.22 = 619,058.22/x
  3. Step 3: Cross multiply
    414,409.80x = 619,058.22 × 619,058.22
  4. Step 4: Simplify right side
    414,409.80x = 383,233,081,526.91
  5. Step 5: Solve for x
    x = 383,233,081,526.91/414,409.80
  6. Step 6: Final answer
    x = 924,768.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.