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Finding the Third Proportional to 207,085 and 452,942

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Solution

The third proportional to 207,085 and 452,942 is: 990,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,085 : 452,942 = 452,942 : x
  2. Step 2: Convert to fraction form
    207,085/452,942 = 452,942/x
  3. Step 3: Cross multiply
    207,085x = 452,942 × 452,942
  4. Step 4: Simplify right side
    207,085x = 205,156,455,364
  5. Step 5: Solve for x
    x = 205,156,455,364/207,085
  6. Step 6: Final answer
    x = 990,687.18

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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.