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Finding the Third Proportional to 338,924.25 and 722,884.50

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Solution

The third proportional to 338,924.25 and 722,884.50 is: 1,541,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,924.25 : 722,884.50 = 722,884.50 : x
  2. Step 2: Convert to fraction form
    338,924.25/722,884.50 = 722,884.50/x
  3. Step 3: Cross multiply
    338,924.25x = 722,884.50 × 722,884.50
  4. Step 4: Simplify right side
    338,924.25x = 522,562,000,340.25
  5. Step 5: Solve for x
    x = 522,562,000,340.25/338,924.25
  6. Step 6: Final answer
    x = 1,541,825.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.