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Finding the Third Proportional to 535,293 and 782,838

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Solution

The third proportional to 535,293 and 782,838 is: 1,144,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,293 : 782,838 = 782,838 : x
  2. Step 2: Convert to fraction form
    535,293/782,838 = 782,838/x
  3. Step 3: Cross multiply
    535,293x = 782,838 × 782,838
  4. Step 4: Simplify right side
    535,293x = 612,835,334,244
  5. Step 5: Solve for x
    x = 612,835,334,244/535,293
  6. Step 6: Final answer
    x = 1,144,859.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.