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Finding the Third Proportional to 254,274.19 and 534,731.63

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Solution

The third proportional to 254,274.19 and 534,731.63 is: 1,124,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,274.19 : 534,731.63 = 534,731.63 : x
  2. Step 2: Convert to fraction form
    254,274.19/534,731.63 = 534,731.63/x
  3. Step 3: Cross multiply
    254,274.19x = 534,731.63 × 534,731.63
  4. Step 4: Simplify right side
    254,274.19x = 285,937,910,775.14
  5. Step 5: Solve for x
    x = 285,937,910,775.14/254,274.19
  6. Step 6: Final answer
    x = 1,124,525.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.