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Finding the Third Proportional to 366,966 and 554,145

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Solution

The third proportional to 366,966 and 554,145 is: 836,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,966 : 554,145 = 554,145 : x
  2. Step 2: Convert to fraction form
    366,966/554,145 = 554,145/x
  3. Step 3: Cross multiply
    366,966x = 554,145 × 554,145
  4. Step 4: Simplify right side
    366,966x = 307,076,681,025
  5. Step 5: Solve for x
    x = 307,076,681,025/366,966
  6. Step 6: Final answer
    x = 836,798.73

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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.