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Finding the Third Proportional to 270,297 and 586,710

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Solution

The third proportional to 270,297 and 586,710 is: 1,273,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,297 : 586,710 = 586,710 : x
  2. Step 2: Convert to fraction form
    270,297/586,710 = 586,710/x
  3. Step 3: Cross multiply
    270,297x = 586,710 × 586,710
  4. Step 4: Simplify right side
    270,297x = 344,228,624,100
  5. Step 5: Solve for x
    x = 344,228,624,100/270,297
  6. Step 6: Final answer
    x = 1,273,519.96

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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.