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Finding the Third Proportional to 406,299.50 and 875,036

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Solution

The third proportional to 406,299.50 and 875,036 is: 1,884,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,299.50 : 875,036 = 875,036 : x
  2. Step 2: Convert to fraction form
    406,299.50/875,036 = 875,036/x
  3. Step 3: Cross multiply
    406,299.50x = 875,036 × 875,036
  4. Step 4: Simplify right side
    406,299.50x = 765,688,001,296
  5. Step 5: Solve for x
    x = 765,688,001,296/406,299.50
  6. Step 6: Final answer
    x = 1,884,540.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.