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Finding the Third Proportional to 208,278 and 454,248

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Solution

The third proportional to 208,278 and 454,248 is: 990,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,278 : 454,248 = 454,248 : x
  2. Step 2: Convert to fraction form
    208,278/454,248 = 454,248/x
  3. Step 3: Cross multiply
    208,278x = 454,248 × 454,248
  4. Step 4: Simplify right side
    208,278x = 206,341,245,504
  5. Step 5: Solve for x
    x = 206,341,245,504/208,278
  6. Step 6: Final answer
    x = 990,701.11

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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.