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Finding the Third Proportional to 279,618 and 444,763

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Solution

The third proportional to 279,618 and 444,763 is: 707,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,618 : 444,763 = 444,763 : x
  2. Step 2: Convert to fraction form
    279,618/444,763 = 444,763/x
  3. Step 3: Cross multiply
    279,618x = 444,763 × 444,763
  4. Step 4: Simplify right side
    279,618x = 197,814,126,169
  5. Step 5: Solve for x
    x = 197,814,126,169/279,618
  6. Step 6: Final answer
    x = 707,444.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.