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Finding the Third Proportional to 279,889 and 604,003

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Solution

The third proportional to 279,889 and 604,003 is: 1,303,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,889 : 604,003 = 604,003 : x
  2. Step 2: Convert to fraction form
    279,889/604,003 = 604,003/x
  3. Step 3: Cross multiply
    279,889x = 604,003 × 604,003
  4. Step 4: Simplify right side
    279,889x = 364,819,624,009
  5. Step 5: Solve for x
    x = 364,819,624,009/279,889
  6. Step 6: Final answer
    x = 1,303,443.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.