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Finding the Third Proportional to 210,972.75 and 497,717.25

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Solution

The third proportional to 210,972.75 and 497,717.25 is: 1,174,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,972.75 : 497,717.25 = 497,717.25 : x
  2. Step 2: Convert to fraction form
    210,972.75/497,717.25 = 497,717.25/x
  3. Step 3: Cross multiply
    210,972.75x = 497,717.25 × 497,717.25
  4. Step 4: Simplify right side
    210,972.75x = 247,722,460,947.56
  5. Step 5: Solve for x
    x = 247,722,460,947.56/210,972.75
  6. Step 6: Final answer
    x = 1,174,191.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.