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Finding the Third Proportional to 562,754.25 and 1,232,236.13

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Solution

The third proportional to 562,754.25 and 1,232,236.13 is: 2,698,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,754.25 : 1,232,236.13 = 1,232,236.13 : x
  2. Step 2: Convert to fraction form
    562,754.25/1,232,236.13 = 1,232,236.13/x
  3. Step 3: Cross multiply
    562,754.25x = 1,232,236.13 × 1,232,236.13
  4. Step 4: Simplify right side
    562,754.25x = 1,518,405,867,755.02
  5. Step 5: Solve for x
    x = 1,518,405,867,755.02/562,754.25
  6. Step 6: Final answer
    x = 2,698,168.64

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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.