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Finding the Third Proportional to 248,577.19 and 533,941.03

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Solution

The third proportional to 248,577.19 and 533,941.03 is: 1,146,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,577.19 : 533,941.03 = 533,941.03 : x
  2. Step 2: Convert to fraction form
    248,577.19/533,941.03 = 533,941.03/x
  3. Step 3: Cross multiply
    248,577.19x = 533,941.03 × 533,941.03
  4. Step 4: Simplify right side
    248,577.19x = 285,093,024,852.31
  5. Step 5: Solve for x
    x = 285,093,024,852.31/248,577.19
  6. Step 6: Final answer
    x = 1,146,899.39

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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.