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Finding the Third Proportional to 365,806 and 549,682

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Solution

The third proportional to 365,806 and 549,682 is: 825,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,806 : 549,682 = 549,682 : x
  2. Step 2: Convert to fraction form
    365,806/549,682 = 549,682/x
  3. Step 3: Cross multiply
    365,806x = 549,682 × 549,682
  4. Step 4: Simplify right side
    365,806x = 302,150,301,124
  5. Step 5: Solve for x
    x = 302,150,301,124/365,806
  6. Step 6: Final answer
    x = 825,985.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.