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Finding the Third Proportional to 325,721 and 476,913

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Solution

The third proportional to 325,721 and 476,913 is: 698,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,721 : 476,913 = 476,913 : x
  2. Step 2: Convert to fraction form
    325,721/476,913 = 476,913/x
  3. Step 3: Cross multiply
    325,721x = 476,913 × 476,913
  4. Step 4: Simplify right side
    325,721x = 227,446,009,569
  5. Step 5: Solve for x
    x = 227,446,009,569/325,721
  6. Step 6: Final answer
    x = 698,284.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.