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Finding the Third Proportional to 583,262.25 and 1,213,083

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Solution

The third proportional to 583,262.25 and 1,213,083 is: 2,522,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,262.25 : 1,213,083 = 1,213,083 : x
  2. Step 2: Convert to fraction form
    583,262.25/1,213,083 = 1,213,083/x
  3. Step 3: Cross multiply
    583,262.25x = 1,213,083 × 1,213,083
  4. Step 4: Simplify right side
    583,262.25x = 1,471,570,364,889
  5. Step 5: Solve for x
    x = 1,471,570,364,889/583,262.25
  6. Step 6: Final answer
    x = 2,522,999.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.