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Finding the Third Proportional to 279,916 and 604,036

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Solution

The third proportional to 279,916 and 604,036 is: 1,303,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,916 : 604,036 = 604,036 : x
  2. Step 2: Convert to fraction form
    279,916/604,036 = 604,036/x
  3. Step 3: Cross multiply
    279,916x = 604,036 × 604,036
  4. Step 4: Simplify right side
    279,916x = 364,859,489,296
  5. Step 5: Solve for x
    x = 364,859,489,296/279,916
  6. Step 6: Final answer
    x = 1,303,460.64

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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.