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Finding the Third Proportional to 210,227.50 and 459,578

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Solution

The third proportional to 210,227.50 and 459,578 is: 1,004,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,227.50 : 459,578 = 459,578 : x
  2. Step 2: Convert to fraction form
    210,227.50/459,578 = 459,578/x
  3. Step 3: Cross multiply
    210,227.50x = 459,578 × 459,578
  4. Step 4: Simplify right side
    210,227.50x = 211,211,938,084
  5. Step 5: Solve for x
    x = 211,211,938,084/210,227.50
  6. Step 6: Final answer
    x = 1,004,682.73

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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.