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Finding the Third Proportional to 270,576 and 420,597

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Solution

The third proportional to 270,576 and 420,597 is: 653,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,576 : 420,597 = 420,597 : x
  2. Step 2: Convert to fraction form
    270,576/420,597 = 420,597/x
  3. Step 3: Cross multiply
    270,576x = 420,597 × 420,597
  4. Step 4: Simplify right side
    270,576x = 176,901,836,409
  5. Step 5: Solve for x
    x = 176,901,836,409/270,576
  6. Step 6: Final answer
    x = 653,797.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.