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Finding the Third Proportional to 366,974 and 554,158

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Solution

The third proportional to 366,974 and 554,158 is: 836,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974 : 554,158 = 554,158 : x
  2. Step 2: Convert to fraction form
    366,974/554,158 = 554,158/x
  3. Step 3: Cross multiply
    366,974x = 554,158 × 554,158
  4. Step 4: Simplify right side
    366,974x = 307,091,088,964
  5. Step 5: Solve for x
    x = 307,091,088,964/366,974
  6. Step 6: Final answer
    x = 836,819.74

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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.