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Finding the Third Proportional to 207,496 and 452,684

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Solution

The third proportional to 207,496 and 452,684 is: 987,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,496 : 452,684 = 452,684 : x
  2. Step 2: Convert to fraction form
    207,496/452,684 = 452,684/x
  3. Step 3: Cross multiply
    207,496x = 452,684 × 452,684
  4. Step 4: Simplify right side
    207,496x = 204,922,803,856
  5. Step 5: Solve for x
    x = 204,922,803,856/207,496
  6. Step 6: Final answer
    x = 987,598.82

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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.