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Finding the Third Proportional to 270,225 and 586,602

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Solution

The third proportional to 270,225 and 586,602 is: 1,273,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,225 : 586,602 = 586,602 : x
  2. Step 2: Convert to fraction form
    270,225/586,602 = 586,602/x
  3. Step 3: Cross multiply
    270,225x = 586,602 × 586,602
  4. Step 4: Simplify right side
    270,225x = 344,101,906,404
  5. Step 5: Solve for x
    x = 344,101,906,404/270,225
  6. Step 6: Final answer
    x = 1,273,390.35

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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.