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Finding the Third Proportional to 236,991 and 507,336

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Solution

The third proportional to 236,991 and 507,336 is: 1,086,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,991 : 507,336 = 507,336 : x
  2. Step 2: Convert to fraction form
    236,991/507,336 = 507,336/x
  3. Step 3: Cross multiply
    236,991x = 507,336 × 507,336
  4. Step 4: Simplify right side
    236,991x = 257,389,816,896
  5. Step 5: Solve for x
    x = 257,389,816,896/236,991
  6. Step 6: Final answer
    x = 1,086,074.23

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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.