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Finding the Third Proportional to 296,314 and 638,960

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Solution

The third proportional to 296,314 and 638,960 is: 1,377,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,314 : 638,960 = 638,960 : x
  2. Step 2: Convert to fraction form
    296,314/638,960 = 638,960/x
  3. Step 3: Cross multiply
    296,314x = 638,960 × 638,960
  4. Step 4: Simplify right side
    296,314x = 408,269,881,600
  5. Step 5: Solve for x
    x = 408,269,881,600/296,314
  6. Step 6: Final answer
    x = 1,377,828.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.