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Finding the Third Proportional to 210,568.50 and 458,031

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Solution

The third proportional to 210,568.50 and 458,031 is: 996,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,568.50 : 458,031 = 458,031 : x
  2. Step 2: Convert to fraction form
    210,568.50/458,031 = 458,031/x
  3. Step 3: Cross multiply
    210,568.50x = 458,031 × 458,031
  4. Step 4: Simplify right side
    210,568.50x = 209,792,396,961
  5. Step 5: Solve for x
    x = 209,792,396,961/210,568.50
  6. Step 6: Final answer
    x = 996,314.25

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Why These Related Problems?

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