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Finding the Third Proportional to 406,602.50 and 858,980.50

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Solution

The third proportional to 406,602.50 and 858,980.50 is: 1,814,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,602.50 : 858,980.50 = 858,980.50 : x
  2. Step 2: Convert to fraction form
    406,602.50/858,980.50 = 858,980.50/x
  3. Step 3: Cross multiply
    406,602.50x = 858,980.50 × 858,980.50
  4. Step 4: Simplify right side
    406,602.50x = 737,847,499,380.25
  5. Step 5: Solve for x
    x = 737,847,499,380.25/406,602.50
  6. Step 6: Final answer
    x = 1,814,665.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.