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Finding the Third Proportional to 337,036 and 733,586

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Solution

The third proportional to 337,036 and 733,586 is: 1,596,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,036 : 733,586 = 733,586 : x
  2. Step 2: Convert to fraction form
    337,036/733,586 = 733,586/x
  3. Step 3: Cross multiply
    337,036x = 733,586 × 733,586
  4. Step 4: Simplify right side
    337,036x = 538,148,419,396
  5. Step 5: Solve for x
    x = 538,148,419,396/337,036
  6. Step 6: Final answer
    x = 1,596,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.