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Finding the Third Proportional to 197,467.03 and 433,547.44

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Solution

The third proportional to 197,467.03 and 433,547.44 is: 951,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,467.03 : 433,547.44 = 433,547.44 : x
  2. Step 2: Convert to fraction form
    197,467.03/433,547.44 = 433,547.44/x
  3. Step 3: Cross multiply
    197,467.03x = 433,547.44 × 433,547.44
  4. Step 4: Simplify right side
    197,467.03x = 187,963,380,562.82
  5. Step 5: Solve for x
    x = 187,963,380,562.82/197,467.03
  6. Step 6: Final answer
    x = 951,872.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.