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Finding the Third Proportional to 467,065.50 and 1,005,764.50

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Solution

The third proportional to 467,065.50 and 1,005,764.50 is: 2,165,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,065.50 : 1,005,764.50 = 1,005,764.50 : x
  2. Step 2: Convert to fraction form
    467,065.50/1,005,764.50 = 1,005,764.50/x
  3. Step 3: Cross multiply
    467,065.50x = 1,005,764.50 × 1,005,764.50
  4. Step 4: Simplify right side
    467,065.50x = 1,011,562,229,460.25
  5. Step 5: Solve for x
    x = 1,011,562,229,460.25/467,065.50
  6. Step 6: Final answer
    x = 2,165,782.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.