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Finding the Third Proportional to 273,062 and 598,610

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Solution

The third proportional to 273,062 and 598,610 is: 1,312,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,062 : 598,610 = 598,610 : x
  2. Step 2: Convert to fraction form
    273,062/598,610 = 598,610/x
  3. Step 3: Cross multiply
    273,062x = 598,610 × 598,610
  4. Step 4: Simplify right side
    273,062x = 358,333,932,100
  5. Step 5: Solve for x
    x = 358,333,932,100/273,062
  6. Step 6: Final answer
    x = 1,312,280.48

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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.