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Finding the Third Proportional to 251,434 and 549,524

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Solution

The third proportional to 251,434 and 549,524 is: 1,201,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,434 : 549,524 = 549,524 : x
  2. Step 2: Convert to fraction form
    251,434/549,524 = 549,524/x
  3. Step 3: Cross multiply
    251,434x = 549,524 × 549,524
  4. Step 4: Simplify right side
    251,434x = 301,976,626,576
  5. Step 5: Solve for x
    x = 301,976,626,576/251,434
  6. Step 6: Final answer
    x = 1,201,017.47

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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.