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Finding the Third Proportional to 274,807 and 602,750

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Solution

The third proportional to 274,807 and 602,750 is: 1,322,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,807 : 602,750 = 602,750 : x
  2. Step 2: Convert to fraction form
    274,807/602,750 = 602,750/x
  3. Step 3: Cross multiply
    274,807x = 602,750 × 602,750
  4. Step 4: Simplify right side
    274,807x = 363,307,562,500
  5. Step 5: Solve for x
    x = 363,307,562,500/274,807
  6. Step 6: Final answer
    x = 1,322,046.25

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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.