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Finding the Third Proportional to 207,225 and 458,004

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Solution

The third proportional to 207,225 and 458,004 is: 1,012,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225 : 458,004 = 458,004 : x
  2. Step 2: Convert to fraction form
    207,225/458,004 = 458,004/x
  3. Step 3: Cross multiply
    207,225x = 458,004 × 458,004
  4. Step 4: Simplify right side
    207,225x = 209,767,664,016
  5. Step 5: Solve for x
    x = 209,767,664,016/207,225
  6. Step 6: Final answer
    x = 1,012,270.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.