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Finding the Third Proportional to 203,748 and 445,362

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Solution

The third proportional to 203,748 and 445,362 is: 973,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,748 : 445,362 = 445,362 : x
  2. Step 2: Convert to fraction form
    203,748/445,362 = 445,362/x
  3. Step 3: Cross multiply
    203,748x = 445,362 × 445,362
  4. Step 4: Simplify right side
    203,748x = 198,347,311,044
  5. Step 5: Solve for x
    x = 198,347,311,044/203,748
  6. Step 6: Final answer
    x = 973,493.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.