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Finding the Third Proportional to 325,550.25 and 676,048.50

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Solution

The third proportional to 325,550.25 and 676,048.50 is: 1,403,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,550.25 : 676,048.50 = 676,048.50 : x
  2. Step 2: Convert to fraction form
    325,550.25/676,048.50 = 676,048.50/x
  3. Step 3: Cross multiply
    325,550.25x = 676,048.50 × 676,048.50
  4. Step 4: Simplify right side
    325,550.25x = 457,041,574,352.25
  5. Step 5: Solve for x
    x = 457,041,574,352.25/325,550.25
  6. Step 6: Final answer
    x = 1,403,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.