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Finding the Third Proportional to 577,679 and 898,022.50

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Solution

The third proportional to 577,679 and 898,022.50 is: 1,396,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,679 : 898,022.50 = 898,022.50 : x
  2. Step 2: Convert to fraction form
    577,679/898,022.50 = 898,022.50/x
  3. Step 3: Cross multiply
    577,679x = 898,022.50 × 898,022.50
  4. Step 4: Simplify right side
    577,679x = 806,444,410,506.25
  5. Step 5: Solve for x
    x = 806,444,410,506.25/577,679
  6. Step 6: Final answer
    x = 1,396,007.84

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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.