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Finding the Third Proportional to 207,084 and 452,940

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Solution

The third proportional to 207,084 and 452,940 is: 990,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,084 : 452,940 = 452,940 : x
  2. Step 2: Convert to fraction form
    207,084/452,940 = 452,940/x
  3. Step 3: Cross multiply
    207,084x = 452,940 × 452,940
  4. Step 4: Simplify right side
    207,084x = 205,154,643,600
  5. Step 5: Solve for x
    x = 205,154,643,600/207,084
  6. Step 6: Final answer
    x = 990,683.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.