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Finding the Third Proportional to 250,943.06 and 403,964.72

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Solution

The third proportional to 250,943.06 and 403,964.72 is: 650,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,943.06 : 403,964.72 = 403,964.72 : x
  2. Step 2: Convert to fraction form
    250,943.06/403,964.72 = 403,964.72/x
  3. Step 3: Cross multiply
    250,943.06x = 403,964.72 × 403,964.72
  4. Step 4: Simplify right side
    250,943.06x = 163,187,493,994.77
  5. Step 5: Solve for x
    x = 163,187,493,994.77/250,943.06
  6. Step 6: Final answer
    x = 650,296.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.