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Finding the Third Proportional to 270,222 and 586,596

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Solution

The third proportional to 270,222 and 586,596 is: 1,273,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,222 : 586,596 = 586,596 : x
  2. Step 2: Convert to fraction form
    270,222/586,596 = 586,596/x
  3. Step 3: Cross multiply
    270,222x = 586,596 × 586,596
  4. Step 4: Simplify right side
    270,222x = 344,094,867,216
  5. Step 5: Solve for x
    x = 344,094,867,216/270,222
  6. Step 6: Final answer
    x = 1,273,378.43

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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.