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Finding the Third Proportional to 406,288.50 and 875,013

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Solution

The third proportional to 406,288.50 and 875,013 is: 1,884,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,288.50 : 875,013 = 875,013 : x
  2. Step 2: Convert to fraction form
    406,288.50/875,013 = 875,013/x
  3. Step 3: Cross multiply
    406,288.50x = 875,013 × 875,013
  4. Step 4: Simplify right side
    406,288.50x = 765,647,750,169
  5. Step 5: Solve for x
    x = 765,647,750,169/406,288.50
  6. Step 6: Final answer
    x = 1,884,492.79

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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.