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Finding the Third Proportional to 270,225 and 586,601

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Solution

The third proportional to 270,225 and 586,601 is: 1,273,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,225 : 586,601 = 586,601 : x
  2. Step 2: Convert to fraction form
    270,225/586,601 = 586,601/x
  3. Step 3: Cross multiply
    270,225x = 586,601 × 586,601
  4. Step 4: Simplify right side
    270,225x = 344,100,733,201
  5. Step 5: Solve for x
    x = 344,100,733,201/270,225
  6. Step 6: Final answer
    x = 1,273,386.00

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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.