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Finding the Third Proportional to 411,527.25 and 898,465.50

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Solution

The third proportional to 411,527.25 and 898,465.50 is: 1,961,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.25 : 898,465.50 = 898,465.50 : x
  2. Step 2: Convert to fraction form
    411,527.25/898,465.50 = 898,465.50/x
  3. Step 3: Cross multiply
    411,527.25x = 898,465.50 × 898,465.50
  4. Step 4: Simplify right side
    411,527.25x = 807,240,254,690.25
  5. Step 5: Solve for x
    x = 807,240,254,690.25/411,527.25
  6. Step 6: Final answer
    x = 1,961,571.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.