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Finding the Third Proportional to 334,938.75 and 510,249

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Solution

The third proportional to 334,938.75 and 510,249 is: 777,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,938.75 : 510,249 = 510,249 : x
  2. Step 2: Convert to fraction form
    334,938.75/510,249 = 510,249/x
  3. Step 3: Cross multiply
    334,938.75x = 510,249 × 510,249
  4. Step 4: Simplify right side
    334,938.75x = 260,354,042,001
  5. Step 5: Solve for x
    x = 260,354,042,001/334,938.75
  6. Step 6: Final answer
    x = 777,318.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.