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Finding the Third Proportional to 404,712 and 613,116

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Solution

The third proportional to 404,712 and 613,116 is: 928,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,712 : 613,116 = 613,116 : x
  2. Step 2: Convert to fraction form
    404,712/613,116 = 613,116/x
  3. Step 3: Cross multiply
    404,712x = 613,116 × 613,116
  4. Step 4: Simplify right side
    404,712x = 375,911,229,456
  5. Step 5: Solve for x
    x = 375,911,229,456/404,712
  6. Step 6: Final answer
    x = 928,836.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.