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Finding the Third Proportional to 337,400 and 509,584

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Solution

The third proportional to 337,400 and 509,584 is: 769,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,400 : 509,584 = 509,584 : x
  2. Step 2: Convert to fraction form
    337,400/509,584 = 509,584/x
  3. Step 3: Cross multiply
    337,400x = 509,584 × 509,584
  4. Step 4: Simplify right side
    337,400x = 259,675,853,056
  5. Step 5: Solve for x
    x = 259,675,853,056/337,400
  6. Step 6: Final answer
    x = 769,637.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.