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Finding the Third Proportional to 535,308 and 1,163,928

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Solution

The third proportional to 535,308 and 1,163,928 is: 2,530,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,308 : 1,163,928 = 1,163,928 : x
  2. Step 2: Convert to fraction form
    535,308/1,163,928 = 1,163,928/x
  3. Step 3: Cross multiply
    535,308x = 1,163,928 × 1,163,928
  4. Step 4: Simplify right side
    535,308x = 1,354,728,389,184
  5. Step 5: Solve for x
    x = 1,354,728,389,184/535,308
  6. Step 6: Final answer
    x = 2,530,745.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.