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Finding the Third Proportional to 583,953.75 and 1,255,198.50

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Solution

The third proportional to 583,953.75 and 1,255,198.50 is: 2,698,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,953.75 : 1,255,198.50 = 1,255,198.50 : x
  2. Step 2: Convert to fraction form
    583,953.75/1,255,198.50 = 1,255,198.50/x
  3. Step 3: Cross multiply
    583,953.75x = 1,255,198.50 × 1,255,198.50
  4. Step 4: Simplify right side
    583,953.75x = 1,575,523,274,402.25
  5. Step 5: Solve for x
    x = 1,575,523,274,402.25/583,953.75
  6. Step 6: Final answer
    x = 2,698,027.50

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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.