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Finding the Third Proportional to 411,018.05 and 614,855.81

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Solution

The third proportional to 411,018.05 and 614,855.81 is: 919,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,018.05 : 614,855.81 = 614,855.81 : x
  2. Step 2: Convert to fraction form
    411,018.05/614,855.81 = 614,855.81/x
  3. Step 3: Cross multiply
    411,018.05x = 614,855.81 × 614,855.81
  4. Step 4: Simplify right side
    411,018.05x = 378,047,670,165.04
  5. Step 5: Solve for x
    x = 378,047,670,165.04/411,018.05
  6. Step 6: Final answer
    x = 919,783.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.