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Finding the Third Proportional to 207,362 and 452,246

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Solution

The third proportional to 207,362 and 452,246 is: 986,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 452,246 = 452,246 : x
  2. Step 2: Convert to fraction form
    207,362/452,246 = 452,246/x
  3. Step 3: Cross multiply
    207,362x = 452,246 × 452,246
  4. Step 4: Simplify right side
    207,362x = 204,526,444,516
  5. Step 5: Solve for x
    x = 204,526,444,516/207,362
  6. Step 6: Final answer
    x = 986,325.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.