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Finding the Third Proportional to 207,014 and 421,639

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Solution

The third proportional to 207,014 and 421,639 is: 858,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,014 : 421,639 = 421,639 : x
  2. Step 2: Convert to fraction form
    207,014/421,639 = 421,639/x
  3. Step 3: Cross multiply
    207,014x = 421,639 × 421,639
  4. Step 4: Simplify right side
    207,014x = 177,779,446,321
  5. Step 5: Solve for x
    x = 177,779,446,321/207,014
  6. Step 6: Final answer
    x = 858,779.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.