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Finding the Third Proportional to 414,411.75 and 619,061.06

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Solution

The third proportional to 414,411.75 and 619,061.06 is: 924,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,411.75 : 619,061.06 = 619,061.06 : x
  2. Step 2: Convert to fraction form
    414,411.75/619,061.06 = 619,061.06/x
  3. Step 3: Cross multiply
    414,411.75x = 619,061.06 × 619,061.06
  4. Step 4: Simplify right side
    414,411.75x = 383,236,599,103.63
  5. Step 5: Solve for x
    x = 383,236,599,103.63/414,411.75
  6. Step 6: Final answer
    x = 924,772.52

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