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Finding the Third Proportional to 270,050 and 591,008

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Solution

The third proportional to 270,050 and 591,008 is: 1,293,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,050 : 591,008 = 591,008 : x
  2. Step 2: Convert to fraction form
    270,050/591,008 = 591,008/x
  3. Step 3: Cross multiply
    270,050x = 591,008 × 591,008
  4. Step 4: Simplify right side
    270,050x = 349,290,456,064
  5. Step 5: Solve for x
    x = 349,290,456,064/270,050
  6. Step 6: Final answer
    x = 1,293,428.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.