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Finding the Third Proportional to 414,427.22 and 619,081.31

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Solution

The third proportional to 414,427.22 and 619,081.31 is: 924,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,427.22 : 619,081.31 = 619,081.31 : x
  2. Step 2: Convert to fraction form
    414,427.22/619,081.31 = 619,081.31/x
  3. Step 3: Cross multiply
    414,427.22x = 619,081.31 × 619,081.31
  4. Step 4: Simplify right side
    414,427.22x = 383,261,671,486.72
  5. Step 5: Solve for x
    x = 383,261,671,486.72/414,427.22
  6. Step 6: Final answer
    x = 924,798.50

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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.