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Finding the Third Proportional to 529,053.75 and 756,249.75

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Solution

The third proportional to 529,053.75 and 756,249.75 is: 1,081,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,053.75 : 756,249.75 = 756,249.75 : x
  2. Step 2: Convert to fraction form
    529,053.75/756,249.75 = 756,249.75/x
  3. Step 3: Cross multiply
    529,053.75x = 756,249.75 × 756,249.75
  4. Step 4: Simplify right side
    529,053.75x = 571,913,684,375.06
  5. Step 5: Solve for x
    x = 571,913,684,375.06/529,053.75
  6. Step 6: Final answer
    x = 1,081,012.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.