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Finding the Third Proportional to 214,394 and 452,932

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Solution

The third proportional to 214,394 and 452,932 is: 956,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,394 : 452,932 = 452,932 : x
  2. Step 2: Convert to fraction form
    214,394/452,932 = 452,932/x
  3. Step 3: Cross multiply
    214,394x = 452,932 × 452,932
  4. Step 4: Simplify right side
    214,394x = 205,147,396,624
  5. Step 5: Solve for x
    x = 205,147,396,624/214,394
  6. Step 6: Final answer
    x = 956,870.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.