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Finding the Third Proportional to 442,425.38 and 683,196.19

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Solution

The third proportional to 442,425.38 and 683,196.19 is: 1,054,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,425.38 : 683,196.19 = 683,196.19 : x
  2. Step 2: Convert to fraction form
    442,425.38/683,196.19 = 683,196.19/x
  3. Step 3: Cross multiply
    442,425.38x = 683,196.19 × 683,196.19
  4. Step 4: Simplify right side
    442,425.38x = 466,757,030,614.54
  5. Step 5: Solve for x
    x = 466,757,030,614.54/442,425.38
  6. Step 6: Final answer
    x = 1,054,996.07

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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.