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Finding the Third Proportional to 375,224 and 802,934

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Solution

The third proportional to 375,224 and 802,934 is: 1,718,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,224 : 802,934 = 802,934 : x
  2. Step 2: Convert to fraction form
    375,224/802,934 = 802,934/x
  3. Step 3: Cross multiply
    375,224x = 802,934 × 802,934
  4. Step 4: Simplify right side
    375,224x = 644,703,008,356
  5. Step 5: Solve for x
    x = 644,703,008,356/375,224
  6. Step 6: Final answer
    x = 1,718,181.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.