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Finding the Third Proportional to 251,903.25 and 532,244.25

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Solution

The third proportional to 251,903.25 and 532,244.25 is: 1,124,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,903.25 : 532,244.25 = 532,244.25 : x
  2. Step 2: Convert to fraction form
    251,903.25/532,244.25 = 532,244.25/x
  3. Step 3: Cross multiply
    251,903.25x = 532,244.25 × 532,244.25
  4. Step 4: Simplify right side
    251,903.25x = 283,283,941,658.06
  5. Step 5: Solve for x
    x = 283,283,941,658.06/251,903.25
  6. Step 6: Final answer
    x = 1,124,574.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.