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Finding the Third Proportional to 262,441.69 and 393,901.31

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Solution

The third proportional to 262,441.69 and 393,901.31 is: 591,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,441.69 : 393,901.31 = 393,901.31 : x
  2. Step 2: Convert to fraction form
    262,441.69/393,901.31 = 393,901.31/x
  3. Step 3: Cross multiply
    262,441.69x = 393,901.31 × 393,901.31
  4. Step 4: Simplify right side
    262,441.69x = 155,158,243,989.22
  5. Step 5: Solve for x
    x = 155,158,243,989.22/262,441.69
  6. Step 6: Final answer
    x = 591,210.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.