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Finding the Third Proportional to 274,821 and 602,778

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Solution

The third proportional to 274,821 and 602,778 is: 1,322,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,821 : 602,778 = 602,778 : x
  2. Step 2: Convert to fraction form
    274,821/602,778 = 602,778/x
  3. Step 3: Cross multiply
    274,821x = 602,778 × 602,778
  4. Step 4: Simplify right side
    274,821x = 363,341,317,284
  5. Step 5: Solve for x
    x = 363,341,317,284/274,821
  6. Step 6: Final answer
    x = 1,322,101.72

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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.