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Finding the Third Proportional to 334,751 and 502,858

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Solution

The third proportional to 334,751 and 502,858 is: 755,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,751 : 502,858 = 502,858 : x
  2. Step 2: Convert to fraction form
    334,751/502,858 = 502,858/x
  3. Step 3: Cross multiply
    334,751x = 502,858 × 502,858
  4. Step 4: Simplify right side
    334,751x = 252,866,168,164
  5. Step 5: Solve for x
    x = 252,866,168,164/334,751
  6. Step 6: Final answer
    x = 755,385.85

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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.