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Finding the Third Proportional to 366,960 and 554,136

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Solution

The third proportional to 366,960 and 554,136 is: 836,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 554,136 = 554,136 : x
  2. Step 2: Convert to fraction form
    366,960/554,136 = 554,136/x
  3. Step 3: Cross multiply
    366,960x = 554,136 × 554,136
  4. Step 4: Simplify right side
    366,960x = 307,066,706,496
  5. Step 5: Solve for x
    x = 307,066,706,496/366,960
  6. Step 6: Final answer
    x = 836,785.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.