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Finding the Third Proportional to 373,611 and 583,747.50

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Solution

The third proportional to 373,611 and 583,747.50 is: 912,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,611 : 583,747.50 = 583,747.50 : x
  2. Step 2: Convert to fraction form
    373,611/583,747.50 = 583,747.50/x
  3. Step 3: Cross multiply
    373,611x = 583,747.50 × 583,747.50
  4. Step 4: Simplify right side
    373,611x = 340,761,143,756.25
  5. Step 5: Solve for x
    x = 340,761,143,756.25/373,611
  6. Step 6: Final answer
    x = 912,074.71

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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.