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Finding the Third Proportional to 404,931.38 and 886,134.38

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Solution

The third proportional to 404,931.38 and 886,134.38 is: 1,939,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,931.38 : 886,134.38 = 886,134.38 : x
  2. Step 2: Convert to fraction form
    404,931.38/886,134.38 = 886,134.38/x
  3. Step 3: Cross multiply
    404,931.38x = 886,134.38 × 886,134.38
  4. Step 4: Simplify right side
    404,931.38x = 785,234,130,556.64
  5. Step 5: Solve for x
    x = 785,234,130,556.64/404,931.38
  6. Step 6: Final answer
    x = 1,939,178.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.