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Finding the Third Proportional to 284,057.25 and 611,031

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Solution

The third proportional to 284,057.25 and 611,031 is: 1,314,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.25 : 611,031 = 611,031 : x
  2. Step 2: Convert to fraction form
    284,057.25/611,031 = 611,031/x
  3. Step 3: Cross multiply
    284,057.25x = 611,031 × 611,031
  4. Step 4: Simplify right side
    284,057.25x = 373,358,882,961
  5. Step 5: Solve for x
    x = 373,358,882,961/284,057.25
  6. Step 6: Final answer
    x = 1,314,379.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.