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Finding the Third Proportional to 270,702 and 588,159

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Solution

The third proportional to 270,702 and 588,159 is: 1,277,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,702 : 588,159 = 588,159 : x
  2. Step 2: Convert to fraction form
    270,702/588,159 = 588,159/x
  3. Step 3: Cross multiply
    270,702x = 588,159 × 588,159
  4. Step 4: Simplify right side
    270,702x = 345,931,009,281
  5. Step 5: Solve for x
    x = 345,931,009,281/270,702
  6. Step 6: Final answer
    x = 1,277,903.41

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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.