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Finding the Third Proportional to 352,314 and 502,011

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Solution

The third proportional to 352,314 and 502,011 is: 715,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,314 : 502,011 = 502,011 : x
  2. Step 2: Convert to fraction form
    352,314/502,011 = 502,011/x
  3. Step 3: Cross multiply
    352,314x = 502,011 × 502,011
  4. Step 4: Simplify right side
    352,314x = 252,015,044,121
  5. Step 5: Solve for x
    x = 252,015,044,121/352,314
  6. Step 6: Final answer
    x = 715,313.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.