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Finding the Third Proportional to 311,848 and 502,224

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Solution

The third proportional to 311,848 and 502,224 is: 808,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,848 : 502,224 = 502,224 : x
  2. Step 2: Convert to fraction form
    311,848/502,224 = 502,224/x
  3. Step 3: Cross multiply
    311,848x = 502,224 × 502,224
  4. Step 4: Simplify right side
    311,848x = 252,228,946,176
  5. Step 5: Solve for x
    x = 252,228,946,176/311,848
  6. Step 6: Final answer
    x = 808,820.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.