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Finding the Third Proportional to 263,511 and 578,241

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Solution

The third proportional to 263,511 and 578,241 is: 1,268,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,511 : 578,241 = 578,241 : x
  2. Step 2: Convert to fraction form
    263,511/578,241 = 578,241/x
  3. Step 3: Cross multiply
    263,511x = 578,241 × 578,241
  4. Step 4: Simplify right side
    263,511x = 334,362,654,081
  5. Step 5: Solve for x
    x = 334,362,654,081/263,511
  6. Step 6: Final answer
    x = 1,268,875.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.