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Finding the Third Proportional to 401,933 and 625,042

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Solution

The third proportional to 401,933 and 625,042 is: 971,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,933 : 625,042 = 625,042 : x
  2. Step 2: Convert to fraction form
    401,933/625,042 = 625,042/x
  3. Step 3: Cross multiply
    401,933x = 625,042 × 625,042
  4. Step 4: Simplify right side
    401,933x = 390,677,501,764
  5. Step 5: Solve for x
    x = 390,677,501,764/401,933
  6. Step 6: Final answer
    x = 971,996.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.