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Finding the Third Proportional to 251,770 and 546,200

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Solution

The third proportional to 251,770 and 546,200 is: 1,184,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,770 : 546,200 = 546,200 : x
  2. Step 2: Convert to fraction form
    251,770/546,200 = 546,200/x
  3. Step 3: Cross multiply
    251,770x = 546,200 × 546,200
  4. Step 4: Simplify right side
    251,770x = 298,334,440,000
  5. Step 5: Solve for x
    x = 298,334,440,000/251,770
  6. Step 6: Final answer
    x = 1,184,948.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.