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Finding the Third Proportional to 577,827.42 and 898,211.53

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Solution

The third proportional to 577,827.42 and 898,211.53 is: 1,396,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,827.42 : 898,211.53 = 898,211.53 : x
  2. Step 2: Convert to fraction form
    577,827.42/898,211.53 = 898,211.53/x
  3. Step 3: Cross multiply
    577,827.42x = 898,211.53 × 898,211.53
  4. Step 4: Simplify right side
    577,827.42x = 806,783,954,870.47
  5. Step 5: Solve for x
    x = 806,783,954,870.47/577,827.42
  6. Step 6: Final answer
    x = 1,396,236.88

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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.