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Finding the Third Proportional to 199,052 and 437,464

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Solution

The third proportional to 199,052 and 437,464 is: 961,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,052 : 437,464 = 437,464 : x
  2. Step 2: Convert to fraction form
    199,052/437,464 = 437,464/x
  3. Step 3: Cross multiply
    199,052x = 437,464 × 437,464
  4. Step 4: Simplify right side
    199,052x = 191,374,751,296
  5. Step 5: Solve for x
    x = 191,374,751,296/199,052
  6. Step 6: Final answer
    x = 961,430.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.