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Finding the Third Proportional to 344,286 and 502,740

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Solution

The third proportional to 344,286 and 502,740 is: 734,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,286 : 502,740 = 502,740 : x
  2. Step 2: Convert to fraction form
    344,286/502,740 = 502,740/x
  3. Step 3: Cross multiply
    344,286x = 502,740 × 502,740
  4. Step 4: Simplify right side
    344,286x = 252,747,507,600
  5. Step 5: Solve for x
    x = 252,747,507,600/344,286
  6. Step 6: Final answer
    x = 734,120.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.