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Finding the Third Proportional to 535,806 and 816,271

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Solution

The third proportional to 535,806 and 816,271 is: 1,243,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,806 : 816,271 = 816,271 : x
  2. Step 2: Convert to fraction form
    535,806/816,271 = 816,271/x
  3. Step 3: Cross multiply
    535,806x = 816,271 × 816,271
  4. Step 4: Simplify right side
    535,806x = 666,298,345,441
  5. Step 5: Solve for x
    x = 666,298,345,441/535,806
  6. Step 6: Final answer
    x = 1,243,544.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.