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Finding the Third Proportional to 269,973 and 590,793.75

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Solution

The third proportional to 269,973 and 590,793.75 is: 1,292,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,973 : 590,793.75 = 590,793.75 : x
  2. Step 2: Convert to fraction form
    269,973/590,793.75 = 590,793.75/x
  3. Step 3: Cross multiply
    269,973x = 590,793.75 × 590,793.75
  4. Step 4: Simplify right side
    269,973x = 349,037,255,039.06
  5. Step 5: Solve for x
    x = 349,037,255,039.06/269,973
  6. Step 6: Final answer
    x = 1,292,859.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.