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Finding the Third Proportional to 210,053.25 and 453,458.25

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Solution

The third proportional to 210,053.25 and 453,458.25 is: 978,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,053.25 : 453,458.25 = 453,458.25 : x
  2. Step 2: Convert to fraction form
    210,053.25/453,458.25 = 453,458.25/x
  3. Step 3: Cross multiply
    210,053.25x = 453,458.25 × 453,458.25
  4. Step 4: Simplify right side
    210,053.25x = 205,624,384,493.06
  5. Step 5: Solve for x
    x = 205,624,384,493.06/210,053.25
  6. Step 6: Final answer
    x = 978,915.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.