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Finding the Third Proportional to 365,808 and 549,684

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Solution

The third proportional to 365,808 and 549,684 is: 825,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,808 : 549,684 = 549,684 : x
  2. Step 2: Convert to fraction form
    365,808/549,684 = 549,684/x
  3. Step 3: Cross multiply
    365,808x = 549,684 × 549,684
  4. Step 4: Simplify right side
    365,808x = 302,152,499,856
  5. Step 5: Solve for x
    x = 302,152,499,856/365,808
  6. Step 6: Final answer
    x = 825,986.58

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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.