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Finding the Third Proportional to 210,301.31 and 458,667.25

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Solution

The third proportional to 210,301.31 and 458,667.25 is: 1,000,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301.31 : 458,667.25 = 458,667.25 : x
  2. Step 2: Convert to fraction form
    210,301.31/458,667.25 = 458,667.25/x
  3. Step 3: Cross multiply
    210,301.31x = 458,667.25 × 458,667.25
  4. Step 4: Simplify right side
    210,301.31x = 210,375,642,639.23
  5. Step 5: Solve for x
    x = 210,375,642,639.23/210,301.31
  6. Step 6: Final answer
    x = 1,000,353.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.