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Finding the Third Proportional to 325,562.25 and 703,763.25

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Solution

The third proportional to 325,562.25 and 703,763.25 is: 1,521,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,562.25 : 703,763.25 = 703,763.25 : x
  2. Step 2: Convert to fraction form
    325,562.25/703,763.25 = 703,763.25/x
  3. Step 3: Cross multiply
    325,562.25x = 703,763.25 × 703,763.25
  4. Step 4: Simplify right side
    325,562.25x = 495,282,712,050.56
  5. Step 5: Solve for x
    x = 495,282,712,050.56/325,562.25
  6. Step 6: Final answer
    x = 1,521,314.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.