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Finding the Third Proportional to 414,931.50 and 619,737.75

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Solution

The third proportional to 414,931.50 and 619,737.75 is: 925,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,931.50 : 619,737.75 = 619,737.75 : x
  2. Step 2: Convert to fraction form
    414,931.50/619,737.75 = 619,737.75/x
  3. Step 3: Cross multiply
    414,931.50x = 619,737.75 × 619,737.75
  4. Step 4: Simplify right side
    414,931.50x = 384,074,878,775.06
  5. Step 5: Solve for x
    x = 384,074,878,775.06/414,931.50
  6. Step 6: Final answer
    x = 925,634.42

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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.