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Finding the Third Proportional to 588,066.75 and 828,144

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Solution

The third proportional to 588,066.75 and 828,144 is: 1,166,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,066.75 : 828,144 = 828,144 : x
  2. Step 2: Convert to fraction form
    588,066.75/828,144 = 828,144/x
  3. Step 3: Cross multiply
    588,066.75x = 828,144 × 828,144
  4. Step 4: Simplify right side
    588,066.75x = 685,822,484,736
  5. Step 5: Solve for x
    x = 685,822,484,736/588,066.75
  6. Step 6: Final answer
    x = 1,166,232.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.