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Finding the Third Proportional to 406,291.50 and 875,019

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Solution

The third proportional to 406,291.50 and 875,019 is: 1,884,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,291.50 : 875,019 = 875,019 : x
  2. Step 2: Convert to fraction form
    406,291.50/875,019 = 875,019/x
  3. Step 3: Cross multiply
    406,291.50x = 875,019 × 875,019
  4. Step 4: Simplify right side
    406,291.50x = 765,658,250,361
  5. Step 5: Solve for x
    x = 765,658,250,361/406,291.50
  6. Step 6: Final answer
    x = 1,884,504.72

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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.