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Finding the Third Proportional to 210,479.50 and 465,256

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Solution

The third proportional to 210,479.50 and 465,256 is: 1,028,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,479.50 : 465,256 = 465,256 : x
  2. Step 2: Convert to fraction form
    210,479.50/465,256 = 465,256/x
  3. Step 3: Cross multiply
    210,479.50x = 465,256 × 465,256
  4. Step 4: Simplify right side
    210,479.50x = 216,463,145,536
  5. Step 5: Solve for x
    x = 216,463,145,536/210,479.50
  6. Step 6: Final answer
    x = 1,028,428.64

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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.