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Finding the Third Proportional to 270,230 and 586,610

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Solution

The third proportional to 270,230 and 586,610 is: 1,273,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,230 : 586,610 = 586,610 : x
  2. Step 2: Convert to fraction form
    270,230/586,610 = 586,610/x
  3. Step 3: Cross multiply
    270,230x = 586,610 × 586,610
  4. Step 4: Simplify right side
    270,230x = 344,111,292,100
  5. Step 5: Solve for x
    x = 344,111,292,100/270,230
  6. Step 6: Final answer
    x = 1,273,401.52

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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.