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Finding the Third Proportional to 229,202.44 and 501,000.19

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Solution

The third proportional to 229,202.44 and 501,000.19 is: 1,095,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202.44 : 501,000.19 = 501,000.19 : x
  2. Step 2: Convert to fraction form
    229,202.44/501,000.19 = 501,000.19/x
  3. Step 3: Cross multiply
    229,202.44x = 501,000.19 × 501,000.19
  4. Step 4: Simplify right side
    229,202.44x = 251,001,187,875.04
  5. Step 5: Solve for x
    x = 251,001,187,875.04/229,202.44
  6. Step 6: Final answer
    x = 1,095,106.97

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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.