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Finding the Third Proportional to 254,000 and 546,232

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Solution

The third proportional to 254,000 and 546,232 is: 1,174,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,000 : 546,232 = 546,232 : x
  2. Step 2: Convert to fraction form
    254,000/546,232 = 546,232/x
  3. Step 3: Cross multiply
    254,000x = 546,232 × 546,232
  4. Step 4: Simplify right side
    254,000x = 298,369,397,824
  5. Step 5: Solve for x
    x = 298,369,397,824/254,000
  6. Step 6: Final answer
    x = 1,174,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.