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Finding the Third Proportional to 206,460.56 and 454,829.06

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Solution

The third proportional to 206,460.56 and 454,829.06 is: 1,001,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460.56 : 454,829.06 = 454,829.06 : x
  2. Step 2: Convert to fraction form
    206,460.56/454,829.06 = 454,829.06/x
  3. Step 3: Cross multiply
    206,460.56x = 454,829.06 × 454,829.06
  4. Step 4: Simplify right side
    206,460.56x = 206,869,476,094.63
  5. Step 5: Solve for x
    x = 206,869,476,094.63/206,460.56
  6. Step 6: Final answer
    x = 1,001,980.59

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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.