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Finding the Third Proportional to 376,497 and 558,265.50

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Solution

The third proportional to 376,497 and 558,265.50 is: 827,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,497 : 558,265.50 = 558,265.50 : x
  2. Step 2: Convert to fraction form
    376,497/558,265.50 = 558,265.50/x
  3. Step 3: Cross multiply
    376,497x = 558,265.50 × 558,265.50
  4. Step 4: Simplify right side
    376,497x = 311,660,368,490.25
  5. Step 5: Solve for x
    x = 311,660,368,490.25/376,497
  6. Step 6: Final answer
    x = 827,789.78

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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.