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Finding the Third Proportional to 233,381.50 and 508,997

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Solution

The third proportional to 233,381.50 and 508,997 is: 1,110,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,381.50 : 508,997 = 508,997 : x
  2. Step 2: Convert to fraction form
    233,381.50/508,997 = 508,997/x
  3. Step 3: Cross multiply
    233,381.50x = 508,997 × 508,997
  4. Step 4: Simplify right side
    233,381.50x = 259,077,946,009
  5. Step 5: Solve for x
    x = 259,077,946,009/233,381.50
  6. Step 6: Final answer
    x = 1,110,104.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.