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Finding the Third Proportional to 279,804 and 604,281

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Solution

The third proportional to 279,804 and 604,281 is: 1,305,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,804 : 604,281 = 604,281 : x
  2. Step 2: Convert to fraction form
    279,804/604,281 = 604,281/x
  3. Step 3: Cross multiply
    279,804x = 604,281 × 604,281
  4. Step 4: Simplify right side
    279,804x = 365,155,526,961
  5. Step 5: Solve for x
    x = 365,155,526,961/279,804
  6. Step 6: Final answer
    x = 1,305,040.41

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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.