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Finding the Third Proportional to 406,296 and 875,030

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Solution

The third proportional to 406,296 and 875,030 is: 1,884,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,296 : 875,030 = 875,030 : x
  2. Step 2: Convert to fraction form
    406,296/875,030 = 875,030/x
  3. Step 3: Cross multiply
    406,296x = 875,030 × 875,030
  4. Step 4: Simplify right side
    406,296x = 765,677,500,900
  5. Step 5: Solve for x
    x = 765,677,500,900/406,296
  6. Step 6: Final answer
    x = 1,884,531.23

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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.