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Finding the Third Proportional to 454,420.13 and 958,047.75

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Solution

The third proportional to 454,420.13 and 958,047.75 is: 2,019,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,420.13 : 958,047.75 = 958,047.75 : x
  2. Step 2: Convert to fraction form
    454,420.13/958,047.75 = 958,047.75/x
  3. Step 3: Cross multiply
    454,420.13x = 958,047.75 × 958,047.75
  4. Step 4: Simplify right side
    454,420.13x = 917,855,491,280.06
  5. Step 5: Solve for x
    x = 917,855,491,280.06/454,420.13
  6. Step 6: Final answer
    x = 2,019,839.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.