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Finding the Third Proportional to 297,205 and 451,484

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Solution

The third proportional to 297,205 and 451,484 is: 685,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,205 : 451,484 = 451,484 : x
  2. Step 2: Convert to fraction form
    297,205/451,484 = 451,484/x
  3. Step 3: Cross multiply
    297,205x = 451,484 × 451,484
  4. Step 4: Simplify right side
    297,205x = 203,837,802,256
  5. Step 5: Solve for x
    x = 203,837,802,256/297,205
  6. Step 6: Final answer
    x = 685,849.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.