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Finding the Third Proportional to 243,804.50 and 587,337

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Solution

The third proportional to 243,804.50 and 587,337 is: 1,414,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,804.50 : 587,337 = 587,337 : x
  2. Step 2: Convert to fraction form
    243,804.50/587,337 = 587,337/x
  3. Step 3: Cross multiply
    243,804.50x = 587,337 × 587,337
  4. Step 4: Simplify right side
    243,804.50x = 344,964,751,569
  5. Step 5: Solve for x
    x = 344,964,751,569/243,804.50
  6. Step 6: Final answer
    x = 1,414,923.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.