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Finding the Third Proportional to 296,318 and 648,850

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Solution

The third proportional to 296,318 and 648,850 is: 1,420,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,318 : 648,850 = 648,850 : x
  2. Step 2: Convert to fraction form
    296,318/648,850 = 648,850/x
  3. Step 3: Cross multiply
    296,318x = 648,850 × 648,850
  4. Step 4: Simplify right side
    296,318x = 421,006,322,500
  5. Step 5: Solve for x
    x = 421,006,322,500/296,318
  6. Step 6: Final answer
    x = 1,420,792.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.