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Finding the Third Proportional to 525,180 and 833,704

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Solution

The third proportional to 525,180 and 833,704 is: 1,323,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,180 : 833,704 = 833,704 : x
  2. Step 2: Convert to fraction form
    525,180/833,704 = 833,704/x
  3. Step 3: Cross multiply
    525,180x = 833,704 × 833,704
  4. Step 4: Simplify right side
    525,180x = 695,062,359,616
  5. Step 5: Solve for x
    x = 695,062,359,616/525,180
  6. Step 6: Final answer
    x = 1,323,474.54

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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.