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Finding the Third Proportional to 270,600 and 587,313

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Solution

The third proportional to 270,600 and 587,313 is: 1,274,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,600 : 587,313 = 587,313 : x
  2. Step 2: Convert to fraction form
    270,600/587,313 = 587,313/x
  3. Step 3: Cross multiply
    270,600x = 587,313 × 587,313
  4. Step 4: Simplify right side
    270,600x = 344,936,559,969
  5. Step 5: Solve for x
    x = 344,936,559,969/270,600
  6. Step 6: Final answer
    x = 1,274,710.13

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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.