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Finding the Third Proportional to 284,706.56 and 619,236.56

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Solution

The third proportional to 284,706.56 and 619,236.56 is: 1,346,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,706.56 : 619,236.56 = 619,236.56 : x
  2. Step 2: Convert to fraction form
    284,706.56/619,236.56 = 619,236.56/x
  3. Step 3: Cross multiply
    284,706.56x = 619,236.56 × 619,236.56
  4. Step 4: Simplify right side
    284,706.56x = 383,453,920,336.82
  5. Step 5: Solve for x
    x = 383,453,920,336.82/284,706.56
  6. Step 6: Final answer
    x = 1,346,839.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.