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Finding the Third Proportional to 203,483 and 297,448

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Solution

The third proportional to 203,483 and 297,448 is: 434,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,483 : 297,448 = 297,448 : x
  2. Step 2: Convert to fraction form
    203,483/297,448 = 297,448/x
  3. Step 3: Cross multiply
    203,483x = 297,448 × 297,448
  4. Step 4: Simplify right side
    203,483x = 88,475,312,704
  5. Step 5: Solve for x
    x = 88,475,312,704/203,483
  6. Step 6: Final answer
    x = 434,804.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.