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Finding the Third Proportional to 393,188 and 593,040

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Solution

The third proportional to 393,188 and 593,040 is: 894,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,188 : 593,040 = 593,040 : x
  2. Step 2: Convert to fraction form
    393,188/593,040 = 593,040/x
  3. Step 3: Cross multiply
    393,188x = 593,040 × 593,040
  4. Step 4: Simplify right side
    393,188x = 351,696,441,600
  5. Step 5: Solve for x
    x = 351,696,441,600/393,188
  6. Step 6: Final answer
    x = 894,474.00

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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.