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Finding the Third Proportional to 258,197.63 and 559,274.63

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Solution

The third proportional to 258,197.63 and 559,274.63 is: 1,211,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,197.63 : 559,274.63 = 559,274.63 : x
  2. Step 2: Convert to fraction form
    258,197.63/559,274.63 = 559,274.63/x
  3. Step 3: Cross multiply
    258,197.63x = 559,274.63 × 559,274.63
  4. Step 4: Simplify right side
    258,197.63x = 312,788,106,168.89
  5. Step 5: Solve for x
    x = 312,788,106,168.89/258,197.63
  6. Step 6: Final answer
    x = 1,211,429.06

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