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Finding the Third Proportional to 284,053.50 and 441,848.25

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Solution

The third proportional to 284,053.50 and 441,848.25 is: 687,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,053.50 : 441,848.25 = 441,848.25 : x
  2. Step 2: Convert to fraction form
    284,053.50/441,848.25 = 441,848.25/x
  3. Step 3: Cross multiply
    284,053.50x = 441,848.25 × 441,848.25
  4. Step 4: Simplify right side
    284,053.50x = 195,229,876,028.06
  5. Step 5: Solve for x
    x = 195,229,876,028.06/284,053.50
  6. Step 6: Final answer
    x = 687,299.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.