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Finding the Third Proportional to 478,410.75 and 740,769

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Solution

The third proportional to 478,410.75 and 740,769 is: 1,147,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,410.75 : 740,769 = 740,769 : x
  2. Step 2: Convert to fraction form
    478,410.75/740,769 = 740,769/x
  3. Step 3: Cross multiply
    478,410.75x = 740,769 × 740,769
  4. Step 4: Simplify right side
    478,410.75x = 548,738,711,361
  5. Step 5: Solve for x
    x = 548,738,711,361/478,410.75
  6. Step 6: Final answer
    x = 1,147,003.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.