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Finding the Third Proportional to 207,324 and 427,732

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Solution

The third proportional to 207,324 and 427,732 is: 882,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 427,732 = 427,732 : x
  2. Step 2: Convert to fraction form
    207,324/427,732 = 427,732/x
  3. Step 3: Cross multiply
    207,324x = 427,732 × 427,732
  4. Step 4: Simplify right side
    207,324x = 182,954,663,824
  5. Step 5: Solve for x
    x = 182,954,663,824/207,324
  6. Step 6: Final answer
    x = 882,457.72

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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.