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Finding the Third Proportional to 404,174 and 603,765

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Solution

The third proportional to 404,174 and 603,765 is: 901,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,174 : 603,765 = 603,765 : x
  2. Step 2: Convert to fraction form
    404,174/603,765 = 603,765/x
  3. Step 3: Cross multiply
    404,174x = 603,765 × 603,765
  4. Step 4: Simplify right side
    404,174x = 364,532,175,225
  5. Step 5: Solve for x
    x = 364,532,175,225/404,174
  6. Step 6: Final answer
    x = 901,918.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.