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Finding the Third Proportional to 214,387.50 and 468,762

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Solution

The third proportional to 214,387.50 and 468,762 is: 1,024,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,387.50 : 468,762 = 468,762 : x
  2. Step 2: Convert to fraction form
    214,387.50/468,762 = 468,762/x
  3. Step 3: Cross multiply
    214,387.50x = 468,762 × 468,762
  4. Step 4: Simplify right side
    214,387.50x = 219,737,812,644
  5. Step 5: Solve for x
    x = 219,737,812,644/214,387.50
  6. Step 6: Final answer
    x = 1,024,956.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.