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Finding the Third Proportional to 451,883 and 652,945

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Solution

The third proportional to 451,883 and 652,945 is: 943,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,883 : 652,945 = 652,945 : x
  2. Step 2: Convert to fraction form
    451,883/652,945 = 652,945/x
  3. Step 3: Cross multiply
    451,883x = 652,945 × 652,945
  4. Step 4: Simplify right side
    451,883x = 426,337,173,025
  5. Step 5: Solve for x
    x = 426,337,173,025/451,883
  6. Step 6: Final answer
    x = 943,468.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.