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Finding the Third Proportional to 275,483 and 603,778

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Solution

The third proportional to 275,483 and 603,778 is: 1,323,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,483 : 603,778 = 603,778 : x
  2. Step 2: Convert to fraction form
    275,483/603,778 = 603,778/x
  3. Step 3: Cross multiply
    275,483x = 603,778 × 603,778
  4. Step 4: Simplify right side
    275,483x = 364,547,873,284
  5. Step 5: Solve for x
    x = 364,547,873,284/275,483
  6. Step 6: Final answer
    x = 1,323,304.43

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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.