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Finding the Third Proportional to 325,719 and 476,910

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Solution

The third proportional to 325,719 and 476,910 is: 698,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,719 : 476,910 = 476,910 : x
  2. Step 2: Convert to fraction form
    325,719/476,910 = 476,910/x
  3. Step 3: Cross multiply
    325,719x = 476,910 × 476,910
  4. Step 4: Simplify right side
    325,719x = 227,443,148,100
  5. Step 5: Solve for x
    x = 227,443,148,100/325,719
  6. Step 6: Final answer
    x = 698,280.26

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