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Finding the Third Proportional to 376,504.50 and 558,276

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Solution

The third proportional to 376,504.50 and 558,276 is: 827,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504.50 : 558,276 = 558,276 : x
  2. Step 2: Convert to fraction form
    376,504.50/558,276 = 558,276/x
  3. Step 3: Cross multiply
    376,504.50x = 558,276 × 558,276
  4. Step 4: Simplify right side
    376,504.50x = 311,672,092,176
  5. Step 5: Solve for x
    x = 311,672,092,176/376,504.50
  6. Step 6: Final answer
    x = 827,804.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.