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Finding the Third Proportional to 535,817 and 828,921

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Solution

The third proportional to 535,817 and 828,921 is: 1,282,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,817 : 828,921 = 828,921 : x
  2. Step 2: Convert to fraction form
    535,817/828,921 = 828,921/x
  3. Step 3: Cross multiply
    535,817x = 828,921 × 828,921
  4. Step 4: Simplify right side
    535,817x = 687,110,024,241
  5. Step 5: Solve for x
    x = 687,110,024,241/535,817
  6. Step 6: Final answer
    x = 1,282,359.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.