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Finding the Third Proportional to 279,964 and 606,583

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Solution

The third proportional to 279,964 and 606,583 is: 1,314,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,964 : 606,583 = 606,583 : x
  2. Step 2: Convert to fraction form
    279,964/606,583 = 606,583/x
  3. Step 3: Cross multiply
    279,964x = 606,583 × 606,583
  4. Step 4: Simplify right side
    279,964x = 367,942,935,889
  5. Step 5: Solve for x
    x = 367,942,935,889/279,964
  6. Step 6: Final answer
    x = 1,314,250.89

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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.