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Finding the Third Proportional to 393,190 and 593,033

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Solution

The third proportional to 393,190 and 593,033 is: 894,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,190 : 593,033 = 593,033 : x
  2. Step 2: Convert to fraction form
    393,190/593,033 = 593,033/x
  3. Step 3: Cross multiply
    393,190x = 593,033 × 593,033
  4. Step 4: Simplify right side
    393,190x = 351,688,139,089
  5. Step 5: Solve for x
    x = 351,688,139,089/393,190
  6. Step 6: Final answer
    x = 894,448.33

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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.