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Finding the Third Proportional to 274,254 and 414,303

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Solution

The third proportional to 274,254 and 414,303 is: 625,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,254 : 414,303 = 414,303 : x
  2. Step 2: Convert to fraction form
    274,254/414,303 = 414,303/x
  3. Step 3: Cross multiply
    274,254x = 414,303 × 414,303
  4. Step 4: Simplify right side
    274,254x = 171,646,975,809
  5. Step 5: Solve for x
    x = 171,646,975,809/274,254
  6. Step 6: Final answer
    x = 625,868.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.