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Finding the Third Proportional to 273,732 and 406,602

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Solution

The third proportional to 273,732 and 406,602 is: 603,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,732 : 406,602 = 406,602 : x
  2. Step 2: Convert to fraction form
    273,732/406,602 = 406,602/x
  3. Step 3: Cross multiply
    273,732x = 406,602 × 406,602
  4. Step 4: Simplify right side
    273,732x = 165,325,186,404
  5. Step 5: Solve for x
    x = 165,325,186,404/273,732
  6. Step 6: Final answer
    x = 603,967.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.