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Finding the Third Proportional to 262,321 and 393,485

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Solution

The third proportional to 262,321 and 393,485 is: 590,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,321 : 393,485 = 393,485 : x
  2. Step 2: Convert to fraction form
    262,321/393,485 = 393,485/x
  3. Step 3: Cross multiply
    262,321x = 393,485 × 393,485
  4. Step 4: Simplify right side
    262,321x = 154,830,445,225
  5. Step 5: Solve for x
    x = 154,830,445,225/262,321
  6. Step 6: Final answer
    x = 590,232.75

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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.