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Finding the Third Proportional to 270,918 and 593,220.38

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Solution

The third proportional to 270,918 and 593,220.38 is: 1,298,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,918 : 593,220.38 = 593,220.38 : x
  2. Step 2: Convert to fraction form
    270,918/593,220.38 = 593,220.38/x
  3. Step 3: Cross multiply
    270,918x = 593,220.38 × 593,220.38
  4. Step 4: Simplify right side
    270,918x = 351,910,413,315.14
  5. Step 5: Solve for x
    x = 351,910,413,315.14/270,918
  6. Step 6: Final answer
    x = 1,298,955.45

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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.