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Finding the Third Proportional to 210,324.94 and 458,718.19

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Solution

The third proportional to 210,324.94 and 458,718.19 is: 1,000,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,324.94 : 458,718.19 = 458,718.19 : x
  2. Step 2: Convert to fraction form
    210,324.94/458,718.19 = 458,718.19/x
  3. Step 3: Cross multiply
    210,324.94x = 458,718.19 × 458,718.19
  4. Step 4: Simplify right side
    210,324.94x = 210,422,375,543.29
  5. Step 5: Solve for x
    x = 210,422,375,543.29/210,324.94
  6. Step 6: Final answer
    x = 1,000,463.27

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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.