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Finding the Third Proportional to 273,492 and 414,011.25

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Solution

The third proportional to 273,492 and 414,011.25 is: 626,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,492 : 414,011.25 = 414,011.25 : x
  2. Step 2: Convert to fraction form
    273,492/414,011.25 = 414,011.25/x
  3. Step 3: Cross multiply
    273,492x = 414,011.25 × 414,011.25
  4. Step 4: Simplify right side
    273,492x = 171,405,315,126.56
  5. Step 5: Solve for x
    x = 171,405,315,126.56/273,492
  6. Step 6: Final answer
    x = 626,728.81

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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.