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Finding the Third Proportional to 407,458.50 and 619,965.75

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Solution

The third proportional to 407,458.50 and 619,965.75 is: 943,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,458.50 : 619,965.75 = 619,965.75 : x
  2. Step 2: Convert to fraction form
    407,458.50/619,965.75 = 619,965.75/x
  3. Step 3: Cross multiply
    407,458.50x = 619,965.75 × 619,965.75
  4. Step 4: Simplify right side
    407,458.50x = 384,357,531,173.06
  5. Step 5: Solve for x
    x = 384,357,531,173.06/407,458.50
  6. Step 6: Final answer
    x = 943,304.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.