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Finding the Third Proportional to 244,524 and 535,704

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Solution

The third proportional to 244,524 and 535,704 is: 1,173,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,524 : 535,704 = 535,704 : x
  2. Step 2: Convert to fraction form
    244,524/535,704 = 535,704/x
  3. Step 3: Cross multiply
    244,524x = 535,704 × 535,704
  4. Step 4: Simplify right side
    244,524x = 286,978,775,616
  5. Step 5: Solve for x
    x = 286,978,775,616/244,524
  6. Step 6: Final answer
    x = 1,173,622.12

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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.