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Finding the Third Proportional to 251,346 and 546,919

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Solution

The third proportional to 251,346 and 546,919 is: 1,190,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,346 : 546,919 = 546,919 : x
  2. Step 2: Convert to fraction form
    251,346/546,919 = 546,919/x
  3. Step 3: Cross multiply
    251,346x = 546,919 × 546,919
  4. Step 4: Simplify right side
    251,346x = 299,120,392,561
  5. Step 5: Solve for x
    x = 299,120,392,561/251,346
  6. Step 6: Final answer
    x = 1,190,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.