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Finding the Third Proportional to 262,437 and 393,586

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Solution

The third proportional to 262,437 and 393,586 is: 590,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,437 : 393,586 = 393,586 : x
  2. Step 2: Convert to fraction form
    262,437/393,586 = 393,586/x
  3. Step 3: Cross multiply
    262,437x = 393,586 × 393,586
  4. Step 4: Simplify right side
    262,437x = 154,909,939,396
  5. Step 5: Solve for x
    x = 154,909,939,396/262,437
  6. Step 6: Final answer
    x = 590,274.77

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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.