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Finding the Third Proportional to 334,802 and 502,176

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Solution

The third proportional to 334,802 and 502,176 is: 753,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,802 : 502,176 = 502,176 : x
  2. Step 2: Convert to fraction form
    334,802/502,176 = 502,176/x
  3. Step 3: Cross multiply
    334,802x = 502,176 × 502,176
  4. Step 4: Simplify right side
    334,802x = 252,180,734,976
  5. Step 5: Solve for x
    x = 252,180,734,976/334,802
  6. Step 6: Final answer
    x = 753,223.50

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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.