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Finding the Third Proportional to 316,548 and 674,280

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Solution

The third proportional to 316,548 and 674,280 is: 1,436,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,548 : 674,280 = 674,280 : x
  2. Step 2: Convert to fraction form
    316,548/674,280 = 674,280/x
  3. Step 3: Cross multiply
    316,548x = 674,280 × 674,280
  4. Step 4: Simplify right side
    316,548x = 454,653,518,400
  5. Step 5: Solve for x
    x = 454,653,518,400/316,548
  6. Step 6: Final answer
    x = 1,436,286.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.