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Finding the Third Proportional to 207,320 and 427,726

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Solution

The third proportional to 207,320 and 427,726 is: 882,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320 : 427,726 = 427,726 : x
  2. Step 2: Convert to fraction form
    207,320/427,726 = 427,726/x
  3. Step 3: Cross multiply
    207,320x = 427,726 × 427,726
  4. Step 4: Simplify right side
    207,320x = 182,949,531,076
  5. Step 5: Solve for x
    x = 182,949,531,076/207,320
  6. Step 6: Final answer
    x = 882,449.99

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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.