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Finding the Third Proportional to 414,436.50 and 619,093.13

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Solution

The third proportional to 414,436.50 and 619,093.13 is: 924,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,436.50 : 619,093.13 = 619,093.13 : x
  2. Step 2: Convert to fraction form
    414,436.50/619,093.13 = 619,093.13/x
  3. Step 3: Cross multiply
    414,436.50x = 619,093.13 × 619,093.13
  4. Step 4: Simplify right side
    414,436.50x = 383,276,297,422.27
  5. Step 5: Solve for x
    x = 383,276,297,422.27/414,436.50
  6. Step 6: Final answer
    x = 924,813.08

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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.