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Finding the Third Proportional to 270,785 and 586,768

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Solution

The third proportional to 270,785 and 586,768 is: 1,271,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,785 : 586,768 = 586,768 : x
  2. Step 2: Convert to fraction form
    270,785/586,768 = 586,768/x
  3. Step 3: Cross multiply
    270,785x = 586,768 × 586,768
  4. Step 4: Simplify right side
    270,785x = 344,296,685,824
  5. Step 5: Solve for x
    x = 344,296,685,824/270,785
  6. Step 6: Final answer
    x = 1,271,476.21

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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.