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Finding the Third Proportional to 274,225.50 and 414,254.25

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Solution

The third proportional to 274,225.50 and 414,254.25 is: 625,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,225.50 : 414,254.25 = 414,254.25 : x
  2. Step 2: Convert to fraction form
    274,225.50/414,254.25 = 414,254.25/x
  3. Step 3: Cross multiply
    274,225.50x = 414,254.25 × 414,254.25
  4. Step 4: Simplify right side
    274,225.50x = 171,606,583,643.06
  5. Step 5: Solve for x
    x = 171,606,583,643.06/274,225.50
  6. Step 6: Final answer
    x = 625,786.38

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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.