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Finding the Third Proportional to 442,429.50 and 683,203

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Solution

The third proportional to 442,429.50 and 683,203 is: 1,055,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,429.50 : 683,203 = 683,203 : x
  2. Step 2: Convert to fraction form
    442,429.50/683,203 = 683,203/x
  3. Step 3: Cross multiply
    442,429.50x = 683,203 × 683,203
  4. Step 4: Simplify right side
    442,429.50x = 466,766,339,209
  5. Step 5: Solve for x
    x = 466,766,339,209/442,429.50
  6. Step 6: Final answer
    x = 1,055,007.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.