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Finding the Third Proportional to 393,184 and 593,024

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Solution

The third proportional to 393,184 and 593,024 is: 894,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,184 : 593,024 = 593,024 : x
  2. Step 2: Convert to fraction form
    393,184/593,024 = 593,024/x
  3. Step 3: Cross multiply
    393,184x = 593,024 × 593,024
  4. Step 4: Simplify right side
    393,184x = 351,677,464,576
  5. Step 5: Solve for x
    x = 351,677,464,576/393,184
  6. Step 6: Final answer
    x = 894,434.83

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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.