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Finding the Third Proportional to 478,758 and 728,086.50

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Solution

The third proportional to 478,758 and 728,086.50 is: 1,107,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,758 : 728,086.50 = 728,086.50 : x
  2. Step 2: Convert to fraction form
    478,758/728,086.50 = 728,086.50/x
  3. Step 3: Cross multiply
    478,758x = 728,086.50 × 728,086.50
  4. Step 4: Simplify right side
    478,758x = 530,109,951,482.25
  5. Step 5: Solve for x
    x = 530,109,951,482.25/478,758
  6. Step 6: Final answer
    x = 1,107,260.77

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