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Finding the Third Proportional to 624,184 and 940,672

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Solution

The third proportional to 624,184 and 940,672 is: 1,417,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,184 : 940,672 = 940,672 : x
  2. Step 2: Convert to fraction form
    624,184/940,672 = 940,672/x
  3. Step 3: Cross multiply
    624,184x = 940,672 × 940,672
  4. Step 4: Simplify right side
    624,184x = 884,863,811,584
  5. Step 5: Solve for x
    x = 884,863,811,584/624,184
  6. Step 6: Final answer
    x = 1,417,632.96

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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.