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Finding the Third Proportional to 273,592 and 437,064

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Solution

The third proportional to 273,592 and 437,064 is: 698,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,592 : 437,064 = 437,064 : x
  2. Step 2: Convert to fraction form
    273,592/437,064 = 437,064/x
  3. Step 3: Cross multiply
    273,592x = 437,064 × 437,064
  4. Step 4: Simplify right side
    273,592x = 191,024,940,096
  5. Step 5: Solve for x
    x = 191,024,940,096/273,592
  6. Step 6: Final answer
    x = 698,210.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.