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Finding the Third Proportional to 334,800 and 502,938

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Solution

The third proportional to 334,800 and 502,938 is: 755,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,800 : 502,938 = 502,938 : x
  2. Step 2: Convert to fraction form
    334,800/502,938 = 502,938/x
  3. Step 3: Cross multiply
    334,800x = 502,938 × 502,938
  4. Step 4: Simplify right side
    334,800x = 252,946,631,844
  5. Step 5: Solve for x
    x = 252,946,631,844/334,800
  6. Step 6: Final answer
    x = 755,515.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.