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Finding the Third Proportional to 228,266 and 549,913

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Solution

The third proportional to 228,266 and 549,913 is: 1,324,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,266 : 549,913 = 549,913 : x
  2. Step 2: Convert to fraction form
    228,266/549,913 = 549,913/x
  3. Step 3: Cross multiply
    228,266x = 549,913 × 549,913
  4. Step 4: Simplify right side
    228,266x = 302,404,307,569
  5. Step 5: Solve for x
    x = 302,404,307,569/228,266
  6. Step 6: Final answer
    x = 1,324,789.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.