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Finding the Third Proportional to 273,140 and 592,936

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Solution

The third proportional to 273,140 and 592,936 is: 1,287,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140 : 592,936 = 592,936 : x
  2. Step 2: Convert to fraction form
    273,140/592,936 = 592,936/x
  3. Step 3: Cross multiply
    273,140x = 592,936 × 592,936
  4. Step 4: Simplify right side
    273,140x = 351,573,100,096
  5. Step 5: Solve for x
    x = 351,573,100,096/273,140
  6. Step 6: Final answer
    x = 1,287,153.47

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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.