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Finding the Third Proportional to 291,099 and 462,892

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Solution

The third proportional to 291,099 and 462,892 is: 736,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,099 : 462,892 = 462,892 : x
  2. Step 2: Convert to fraction form
    291,099/462,892 = 462,892/x
  3. Step 3: Cross multiply
    291,099x = 462,892 × 462,892
  4. Step 4: Simplify right side
    291,099x = 214,269,003,664
  5. Step 5: Solve for x
    x = 214,269,003,664/291,099
  6. Step 6: Final answer
    x = 736,069.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.