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Finding the Third Proportional to 325,831.50 and 697,225.50

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Solution

The third proportional to 325,831.50 and 697,225.50 is: 1,491,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,831.50 : 697,225.50 = 697,225.50 : x
  2. Step 2: Convert to fraction form
    325,831.50/697,225.50 = 697,225.50/x
  3. Step 3: Cross multiply
    325,831.50x = 697,225.50 × 697,225.50
  4. Step 4: Simplify right side
    325,831.50x = 486,123,397,850.25
  5. Step 5: Solve for x
    x = 486,123,397,850.25/325,831.50
  6. Step 6: Final answer
    x = 1,491,947.21

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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.