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Finding the Third Proportional to 406,298 and 875,032

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Solution

The third proportional to 406,298 and 875,032 is: 1,884,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,298 : 875,032 = 875,032 : x
  2. Step 2: Convert to fraction form
    406,298/875,032 = 875,032/x
  3. Step 3: Cross multiply
    406,298x = 875,032 × 875,032
  4. Step 4: Simplify right side
    406,298x = 765,681,001,024
  5. Step 5: Solve for x
    x = 765,681,001,024/406,298
  6. Step 6: Final answer
    x = 1,884,530.57

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Why These Related Problems?

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