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Finding the Third Proportional to 306,718 and 625,956

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Solution

The third proportional to 306,718 and 625,956 is: 1,277,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,718 : 625,956 = 625,956 : x
  2. Step 2: Convert to fraction form
    306,718/625,956 = 625,956/x
  3. Step 3: Cross multiply
    306,718x = 625,956 × 625,956
  4. Step 4: Simplify right side
    306,718x = 391,820,913,936
  5. Step 5: Solve for x
    x = 391,820,913,936/306,718
  6. Step 6: Final answer
    x = 1,277,463.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.