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Finding the Third Proportional to 306,037 and 662,894

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Solution

The third proportional to 306,037 and 662,894 is: 1,435,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,037 : 662,894 = 662,894 : x
  2. Step 2: Convert to fraction form
    306,037/662,894 = 662,894/x
  3. Step 3: Cross multiply
    306,037x = 662,894 × 662,894
  4. Step 4: Simplify right side
    306,037x = 439,428,455,236
  5. Step 5: Solve for x
    x = 439,428,455,236/306,037
  6. Step 6: Final answer
    x = 1,435,867.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.