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Finding the Third Proportional to 366,972 and 554,154

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Solution

The third proportional to 366,972 and 554,154 is: 836,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 554,154 = 554,154 : x
  2. Step 2: Convert to fraction form
    366,972/554,154 = 554,154/x
  3. Step 3: Cross multiply
    366,972x = 554,154 × 554,154
  4. Step 4: Simplify right side
    366,972x = 307,086,655,716
  5. Step 5: Solve for x
    x = 307,086,655,716/366,972
  6. Step 6: Final answer
    x = 836,812.22

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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.