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Finding the Third Proportional to 210,096 and 461,007

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Solution

The third proportional to 210,096 and 461,007 is: 1,011,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096 : 461,007 = 461,007 : x
  2. Step 2: Convert to fraction form
    210,096/461,007 = 461,007/x
  3. Step 3: Cross multiply
    210,096x = 461,007 × 461,007
  4. Step 4: Simplify right side
    210,096x = 212,527,454,049
  5. Step 5: Solve for x
    x = 212,527,454,049/210,096
  6. Step 6: Final answer
    x = 1,011,573.06

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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.