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Finding the Third Proportional to 254,002 and 546,236

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Solution

The third proportional to 254,002 and 546,236 is: 1,174,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,002 : 546,236 = 546,236 : x
  2. Step 2: Convert to fraction form
    254,002/546,236 = 546,236/x
  3. Step 3: Cross multiply
    254,002x = 546,236 × 546,236
  4. Step 4: Simplify right side
    254,002x = 298,373,767,696
  5. Step 5: Solve for x
    x = 298,373,767,696/254,002
  6. Step 6: Final answer
    x = 1,174,690.62

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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.