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Finding the Third Proportional to 337,383 and 509,535

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Solution

The third proportional to 337,383 and 509,535 is: 769,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,383 : 509,535 = 509,535 : x
  2. Step 2: Convert to fraction form
    337,383/509,535 = 509,535/x
  3. Step 3: Cross multiply
    337,383x = 509,535 × 509,535
  4. Step 4: Simplify right side
    337,383x = 259,625,916,225
  5. Step 5: Solve for x
    x = 259,625,916,225/337,383
  6. Step 6: Final answer
    x = 769,528.74

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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.