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Finding the Third Proportional to 214,624 and 291,487

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Solution

The third proportional to 214,624 and 291,487 is: 395,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,624 : 291,487 = 291,487 : x
  2. Step 2: Convert to fraction form
    214,624/291,487 = 291,487/x
  3. Step 3: Cross multiply
    214,624x = 291,487 × 291,487
  4. Step 4: Simplify right side
    214,624x = 84,964,671,169
  5. Step 5: Solve for x
    x = 84,964,671,169/214,624
  6. Step 6: Final answer
    x = 395,876.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.