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Finding the Third Proportional to 225,769 and 493,516.50

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Solution

The third proportional to 225,769 and 493,516.50 is: 1,078,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,769 : 493,516.50 = 493,516.50 : x
  2. Step 2: Convert to fraction form
    225,769/493,516.50 = 493,516.50/x
  3. Step 3: Cross multiply
    225,769x = 493,516.50 × 493,516.50
  4. Step 4: Simplify right side
    225,769x = 243,558,535,772.25
  5. Step 5: Solve for x
    x = 243,558,535,772.25/225,769
  6. Step 6: Final answer
    x = 1,078,795.30

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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.