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Finding the Third Proportional to 276,810 and 598,008

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Solution

The third proportional to 276,810 and 598,008 is: 1,291,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810 : 598,008 = 598,008 : x
  2. Step 2: Convert to fraction form
    276,810/598,008 = 598,008/x
  3. Step 3: Cross multiply
    276,810x = 598,008 × 598,008
  4. Step 4: Simplify right side
    276,810x = 357,613,568,064
  5. Step 5: Solve for x
    x = 357,613,568,064/276,810
  6. Step 6: Final answer
    x = 1,291,909.86

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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.