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Finding the Third Proportional to 251,614 and 549,884

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Solution

The third proportional to 251,614 and 549,884 is: 1,201,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,614 : 549,884 = 549,884 : x
  2. Step 2: Convert to fraction form
    251,614/549,884 = 549,884/x
  3. Step 3: Cross multiply
    251,614x = 549,884 × 549,884
  4. Step 4: Simplify right side
    251,614x = 302,372,413,456
  5. Step 5: Solve for x
    x = 302,372,413,456/251,614
  6. Step 6: Final answer
    x = 1,201,731.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.