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Finding the Third Proportional to 301,384 and 644,712

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Solution

The third proportional to 301,384 and 644,712 is: 1,379,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,384 : 644,712 = 644,712 : x
  2. Step 2: Convert to fraction form
    301,384/644,712 = 644,712/x
  3. Step 3: Cross multiply
    301,384x = 644,712 × 644,712
  4. Step 4: Simplify right side
    301,384x = 415,653,562,944
  5. Step 5: Solve for x
    x = 415,653,562,944/301,384
  6. Step 6: Final answer
    x = 1,379,149.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.