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Finding the Third Proportional to 445,595.50 and 670,523

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Solution

The third proportional to 445,595.50 and 670,523 is: 1,008,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,595.50 : 670,523 = 670,523 : x
  2. Step 2: Convert to fraction form
    445,595.50/670,523 = 670,523/x
  3. Step 3: Cross multiply
    445,595.50x = 670,523 × 670,523
  4. Step 4: Simplify right side
    445,595.50x = 449,601,093,529
  5. Step 5: Solve for x
    x = 449,601,093,529/445,595.50
  6. Step 6: Final answer
    x = 1,008,989.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.