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Finding the Third Proportional to 325,958 and 721,900

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Solution

The third proportional to 325,958 and 721,900 is: 1,598,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,958 : 721,900 = 721,900 : x
  2. Step 2: Convert to fraction form
    325,958/721,900 = 721,900/x
  3. Step 3: Cross multiply
    325,958x = 721,900 × 721,900
  4. Step 4: Simplify right side
    325,958x = 521,139,610,000
  5. Step 5: Solve for x
    x = 521,139,610,000/325,958
  6. Step 6: Final answer
    x = 1,598,793.74

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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.