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Finding the Third Proportional to 305,338 and 448,883

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Solution

The third proportional to 305,338 and 448,883 is: 659,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,338 : 448,883 = 448,883 : x
  2. Step 2: Convert to fraction form
    305,338/448,883 = 448,883/x
  3. Step 3: Cross multiply
    305,338x = 448,883 × 448,883
  4. Step 4: Simplify right side
    305,338x = 201,495,947,689
  5. Step 5: Solve for x
    x = 201,495,947,689/305,338
  6. Step 6: Final answer
    x = 659,911.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.