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Finding the Third Proportional to 251,498 and 549,636

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Solution

The third proportional to 251,498 and 549,636 is: 1,201,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,498 : 549,636 = 549,636 : x
  2. Step 2: Convert to fraction form
    251,498/549,636 = 549,636/x
  3. Step 3: Cross multiply
    251,498x = 549,636 × 549,636
  4. Step 4: Simplify right side
    251,498x = 302,099,732,496
  5. Step 5: Solve for x
    x = 302,099,732,496/251,498
  6. Step 6: Final answer
    x = 1,201,201.33

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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.