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Finding the Third Proportional to 393,228 and 593,064

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Solution

The third proportional to 393,228 and 593,064 is: 894,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,228 : 593,064 = 593,064 : x
  2. Step 2: Convert to fraction form
    393,228/593,064 = 593,064/x
  3. Step 3: Cross multiply
    393,228x = 593,064 × 593,064
  4. Step 4: Simplify right side
    393,228x = 351,724,908,096
  5. Step 5: Solve for x
    x = 351,724,908,096/393,228
  6. Step 6: Final answer
    x = 894,455.40

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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.