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Finding the Third Proportional to 505,836 and 1,058,440.50

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Solution

The third proportional to 505,836 and 1,058,440.50 is: 2,214,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,836 : 1,058,440.50 = 1,058,440.50 : x
  2. Step 2: Convert to fraction form
    505,836/1,058,440.50 = 1,058,440.50/x
  3. Step 3: Cross multiply
    505,836x = 1,058,440.50 × 1,058,440.50
  4. Step 4: Simplify right side
    505,836x = 1,120,296,292,040.25
  5. Step 5: Solve for x
    x = 1,120,296,292,040.25/505,836
  6. Step 6: Final answer
    x = 2,214,742.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.