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Finding the Third Proportional to 207,298 and 427,682

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Solution

The third proportional to 207,298 and 427,682 is: 882,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,298 : 427,682 = 427,682 : x
  2. Step 2: Convert to fraction form
    207,298/427,682 = 427,682/x
  3. Step 3: Cross multiply
    207,298x = 427,682 × 427,682
  4. Step 4: Simplify right side
    207,298x = 182,911,893,124
  5. Step 5: Solve for x
    x = 182,911,893,124/207,298
  6. Step 6: Final answer
    x = 882,362.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.