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Finding the Third Proportional to 270,296 and 586,708

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Solution

The third proportional to 270,296 and 586,708 is: 1,273,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296 : 586,708 = 586,708 : x
  2. Step 2: Convert to fraction form
    270,296/586,708 = 586,708/x
  3. Step 3: Cross multiply
    270,296x = 586,708 × 586,708
  4. Step 4: Simplify right side
    270,296x = 344,226,277,264
  5. Step 5: Solve for x
    x = 344,226,277,264/270,296
  6. Step 6: Final answer
    x = 1,273,515.99

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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.