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Finding the Third Proportional to 406,845 and 591,799.50

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Solution

The third proportional to 406,845 and 591,799.50 is: 860,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,845 : 591,799.50 = 591,799.50 : x
  2. Step 2: Convert to fraction form
    406,845/591,799.50 = 591,799.50/x
  3. Step 3: Cross multiply
    406,845x = 591,799.50 × 591,799.50
  4. Step 4: Simplify right side
    406,845x = 350,226,648,200.25
  5. Step 5: Solve for x
    x = 350,226,648,200.25/406,845
  6. Step 6: Final answer
    x = 860,835.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.