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Finding the Third Proportional to 404,514 and 606,771

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Solution

The third proportional to 404,514 and 606,771 is: 910,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,514 : 606,771 = 606,771 : x
  2. Step 2: Convert to fraction form
    404,514/606,771 = 606,771/x
  3. Step 3: Cross multiply
    404,514x = 606,771 × 606,771
  4. Step 4: Simplify right side
    404,514x = 368,171,046,441
  5. Step 5: Solve for x
    x = 368,171,046,441/404,514
  6. Step 6: Final answer
    x = 910,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.