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Finding the Third Proportional to 211,065.75 and 497,932.31

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Solution

The third proportional to 211,065.75 and 497,932.31 is: 1,174,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,065.75 : 497,932.31 = 497,932.31 : x
  2. Step 2: Convert to fraction form
    211,065.75/497,932.31 = 497,932.31/x
  3. Step 3: Cross multiply
    211,065.75x = 497,932.31 × 497,932.31
  4. Step 4: Simplify right side
    211,065.75x = 247,936,587,831.60
  5. Step 5: Solve for x
    x = 247,936,587,831.60/211,065.75
  6. Step 6: Final answer
    x = 1,174,688.87

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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.