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Finding the Third Proportional to 260,444 and 528,132

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Solution

The third proportional to 260,444 and 528,132 is: 1,070,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,444 : 528,132 = 528,132 : x
  2. Step 2: Convert to fraction form
    260,444/528,132 = 528,132/x
  3. Step 3: Cross multiply
    260,444x = 528,132 × 528,132
  4. Step 4: Simplify right side
    260,444x = 278,923,409,424
  5. Step 5: Solve for x
    x = 278,923,409,424/260,444
  6. Step 6: Final answer
    x = 1,070,953.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.