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Finding the Third Proportional to 393,181 and 593,506

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Solution

The third proportional to 393,181 and 593,506 is: 895,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,181 : 593,506 = 593,506 : x
  2. Step 2: Convert to fraction form
    393,181/593,506 = 593,506/x
  3. Step 3: Cross multiply
    393,181x = 593,506 × 593,506
  4. Step 4: Simplify right side
    393,181x = 352,249,372,036
  5. Step 5: Solve for x
    x = 352,249,372,036/393,181
  6. Step 6: Final answer
    x = 895,896.22

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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.