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Finding the Third Proportional to 229,255.03 and 502,796.81

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Solution

The third proportional to 229,255.03 and 502,796.81 is: 1,102,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,255.03 : 502,796.81 = 502,796.81 : x
  2. Step 2: Convert to fraction form
    229,255.03/502,796.81 = 502,796.81/x
  3. Step 3: Cross multiply
    229,255.03x = 502,796.81 × 502,796.81
  4. Step 4: Simplify right side
    229,255.03x = 252,804,634,660.16
  5. Step 5: Solve for x
    x = 252,804,634,660.16/229,255.03
  6. Step 6: Final answer
    x = 1,102,722.30

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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.