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Finding the Third Proportional to 335,960 and 726,136

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Solution

The third proportional to 335,960 and 726,136 is: 1,569,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,960 : 726,136 = 726,136 : x
  2. Step 2: Convert to fraction form
    335,960/726,136 = 726,136/x
  3. Step 3: Cross multiply
    335,960x = 726,136 × 726,136
  4. Step 4: Simplify right side
    335,960x = 527,273,490,496
  5. Step 5: Solve for x
    x = 527,273,490,496/335,960
  6. Step 6: Final answer
    x = 1,569,453.18

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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.