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Finding the Third Proportional to 236,974 and 507,302

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Solution

The third proportional to 236,974 and 507,302 is: 1,086,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,974 : 507,302 = 507,302 : x
  2. Step 2: Convert to fraction form
    236,974/507,302 = 507,302/x
  3. Step 3: Cross multiply
    236,974x = 507,302 × 507,302
  4. Step 4: Simplify right side
    236,974x = 257,355,319,204
  5. Step 5: Solve for x
    x = 257,355,319,204/236,974
  6. Step 6: Final answer
    x = 1,086,006.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.