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Finding the Third Proportional to 325,960 and 721,904

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Solution

The third proportional to 325,960 and 721,904 is: 1,598,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,960 : 721,904 = 721,904 : x
  2. Step 2: Convert to fraction form
    325,960/721,904 = 721,904/x
  3. Step 3: Cross multiply
    325,960x = 721,904 × 721,904
  4. Step 4: Simplify right side
    325,960x = 521,145,385,216
  5. Step 5: Solve for x
    x = 521,145,385,216/325,960
  6. Step 6: Final answer
    x = 1,598,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.