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Finding the Third Proportional to 305,184 and 662,906

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Solution

The third proportional to 305,184 and 662,906 is: 1,439,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,184 : 662,906 = 662,906 : x
  2. Step 2: Convert to fraction form
    305,184/662,906 = 662,906/x
  3. Step 3: Cross multiply
    305,184x = 662,906 × 662,906
  4. Step 4: Simplify right side
    305,184x = 439,444,364,836
  5. Step 5: Solve for x
    x = 439,444,364,836/305,184
  6. Step 6: Final answer
    x = 1,439,932.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.