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Finding the Third Proportional to 583,215.75 and 833,999.50

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Solution

The third proportional to 583,215.75 and 833,999.50 is: 1,192,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,215.75 : 833,999.50 = 833,999.50 : x
  2. Step 2: Convert to fraction form
    583,215.75/833,999.50 = 833,999.50/x
  3. Step 3: Cross multiply
    583,215.75x = 833,999.50 × 833,999.50
  4. Step 4: Simplify right side
    583,215.75x = 695,555,166,000.25
  5. Step 5: Solve for x
    x = 695,555,166,000.25/583,215.75
  6. Step 6: Final answer
    x = 1,192,620.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.