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Finding the Third Proportional to 273,612 and 437,106

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Solution

The third proportional to 273,612 and 437,106 is: 698,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,612 : 437,106 = 437,106 : x
  2. Step 2: Convert to fraction form
    273,612/437,106 = 437,106/x
  3. Step 3: Cross multiply
    273,612x = 437,106 × 437,106
  4. Step 4: Simplify right side
    273,612x = 191,061,655,236
  5. Step 5: Solve for x
    x = 191,061,655,236/273,612
  6. Step 6: Final answer
    x = 698,294.14

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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.