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Finding the Third Proportional to 279,020 and 604,399

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Solution

The third proportional to 279,020 and 604,399 is: 1,309,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,020 : 604,399 = 604,399 : x
  2. Step 2: Convert to fraction form
    279,020/604,399 = 604,399/x
  3. Step 3: Cross multiply
    279,020x = 604,399 × 604,399
  4. Step 4: Simplify right side
    279,020x = 365,298,151,201
  5. Step 5: Solve for x
    x = 365,298,151,201/279,020
  6. Step 6: Final answer
    x = 1,309,218.52

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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.