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Finding the Third Proportional to 273,056 and 598,601

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Solution

The third proportional to 273,056 and 598,601 is: 1,312,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,056 : 598,601 = 598,601 : x
  2. Step 2: Convert to fraction form
    273,056/598,601 = 598,601/x
  3. Step 3: Cross multiply
    273,056x = 598,601 × 598,601
  4. Step 4: Simplify right side
    273,056x = 358,323,157,201
  5. Step 5: Solve for x
    x = 358,323,157,201/273,056
  6. Step 6: Final answer
    x = 1,312,269.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.