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Finding the Third Proportional to 284,941.50 and 608,018.25

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Solution

The third proportional to 284,941.50 and 608,018.25 is: 1,297,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,941.50 : 608,018.25 = 608,018.25 : x
  2. Step 2: Convert to fraction form
    284,941.50/608,018.25 = 608,018.25/x
  3. Step 3: Cross multiply
    284,941.50x = 608,018.25 × 608,018.25
  4. Step 4: Simplify right side
    284,941.50x = 369,686,192,333.06
  5. Step 5: Solve for x
    x = 369,686,192,333.06/284,941.50
  6. Step 6: Final answer
    x = 1,297,410.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.