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Finding the Third Proportional to 525,163.50 and 833,672.25

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Solution

The third proportional to 525,163.50 and 833,672.25 is: 1,323,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,163.50 : 833,672.25 = 833,672.25 : x
  2. Step 2: Convert to fraction form
    525,163.50/833,672.25 = 833,672.25/x
  3. Step 3: Cross multiply
    525,163.50x = 833,672.25 × 833,672.25
  4. Step 4: Simplify right side
    525,163.50x = 695,009,420,420.06
  5. Step 5: Solve for x
    x = 695,009,420,420.06/525,163.50
  6. Step 6: Final answer
    x = 1,323,415.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.