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Finding the Third Proportional to 307,236 and 476,838

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Solution

The third proportional to 307,236 and 476,838 is: 740,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,236 : 476,838 = 476,838 : x
  2. Step 2: Convert to fraction form
    307,236/476,838 = 476,838/x
  3. Step 3: Cross multiply
    307,236x = 476,838 × 476,838
  4. Step 4: Simplify right side
    307,236x = 227,374,478,244
  5. Step 5: Solve for x
    x = 227,374,478,244/307,236
  6. Step 6: Final answer
    x = 740,064.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.