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Finding the Third Proportional to 273,891.38 and 598,188.38

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Solution

The third proportional to 273,891.38 and 598,188.38 is: 1,306,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,891.38 : 598,188.38 = 598,188.38 : x
  2. Step 2: Convert to fraction form
    273,891.38/598,188.38 = 598,188.38/x
  3. Step 3: Cross multiply
    273,891.38x = 598,188.38 × 598,188.38
  4. Step 4: Simplify right side
    273,891.38x = 357,829,331,985.14
  5. Step 5: Solve for x
    x = 357,829,331,985.14/273,891.38
  6. Step 6: Final answer
    x = 1,306,464.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.