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Finding the Third Proportional to 316,447 and 644,644

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Solution

The third proportional to 316,447 and 644,644 is: 1,313,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,447 : 644,644 = 644,644 : x
  2. Step 2: Convert to fraction form
    316,447/644,644 = 644,644/x
  3. Step 3: Cross multiply
    316,447x = 644,644 × 644,644
  4. Step 4: Simplify right side
    316,447x = 415,565,886,736
  5. Step 5: Solve for x
    x = 415,565,886,736/316,447
  6. Step 6: Final answer
    x = 1,313,224.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.