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Finding the Third Proportional to 270,082 and 588,764

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Solution

The third proportional to 270,082 and 588,764 is: 1,283,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,082 : 588,764 = 588,764 : x
  2. Step 2: Convert to fraction form
    270,082/588,764 = 588,764/x
  3. Step 3: Cross multiply
    270,082x = 588,764 × 588,764
  4. Step 4: Simplify right side
    270,082x = 346,643,047,696
  5. Step 5: Solve for x
    x = 346,643,047,696/270,082
  6. Step 6: Final answer
    x = 1,283,473.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.