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Finding the Third Proportional to 251,438 and 549,532

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Solution

The third proportional to 251,438 and 549,532 is: 1,201,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,438 : 549,532 = 549,532 : x
  2. Step 2: Convert to fraction form
    251,438/549,532 = 549,532/x
  3. Step 3: Cross multiply
    251,438x = 549,532 × 549,532
  4. Step 4: Simplify right side
    251,438x = 301,985,419,024
  5. Step 5: Solve for x
    x = 301,985,419,024/251,438
  6. Step 6: Final answer
    x = 1,201,033.33

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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.