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Finding the Third Proportional to 535,561 and 782,816

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Solution

The third proportional to 535,561 and 782,816 is: 1,144,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,561 : 782,816 = 782,816 : x
  2. Step 2: Convert to fraction form
    535,561/782,816 = 782,816/x
  3. Step 3: Cross multiply
    535,561x = 782,816 × 782,816
  4. Step 4: Simplify right side
    535,561x = 612,800,889,856
  5. Step 5: Solve for x
    x = 612,800,889,856/535,561
  6. Step 6: Final answer
    x = 1,144,222.39

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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.