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Finding the Third Proportional to 404,842 and 654,648

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Solution

The third proportional to 404,842 and 654,648 is: 1,058,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,842 : 654,648 = 654,648 : x
  2. Step 2: Convert to fraction form
    404,842/654,648 = 654,648/x
  3. Step 3: Cross multiply
    404,842x = 654,648 × 654,648
  4. Step 4: Simplify right side
    404,842x = 428,564,003,904
  5. Step 5: Solve for x
    x = 428,564,003,904/404,842
  6. Step 6: Final answer
    x = 1,058,595.71

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.