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Finding the Third Proportional to 406,298.25 and 875,034

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Solution

The third proportional to 406,298.25 and 875,034 is: 1,884,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,298.25 : 875,034 = 875,034 : x
  2. Step 2: Convert to fraction form
    406,298.25/875,034 = 875,034/x
  3. Step 3: Cross multiply
    406,298.25x = 875,034 × 875,034
  4. Step 4: Simplify right side
    406,298.25x = 765,684,501,156
  5. Step 5: Solve for x
    x = 765,684,501,156/406,298.25
  6. Step 6: Final answer
    x = 1,884,538.02

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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.