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Finding the Third Proportional to 411,016 and 644,928

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Solution

The third proportional to 411,016 and 644,928 is: 1,011,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,016 : 644,928 = 644,928 : x
  2. Step 2: Convert to fraction form
    411,016/644,928 = 644,928/x
  3. Step 3: Cross multiply
    411,016x = 644,928 × 644,928
  4. Step 4: Simplify right side
    411,016x = 415,932,125,184
  5. Step 5: Solve for x
    x = 415,932,125,184/411,016
  6. Step 6: Final answer
    x = 1,011,960.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.