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Finding the Third Proportional to 260,966 and 501,196

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Solution

The third proportional to 260,966 and 501,196 is: 962,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,966 : 501,196 = 501,196 : x
  2. Step 2: Convert to fraction form
    260,966/501,196 = 501,196/x
  3. Step 3: Cross multiply
    260,966x = 501,196 × 501,196
  4. Step 4: Simplify right side
    260,966x = 251,197,430,416
  5. Step 5: Solve for x
    x = 251,197,430,416/260,966
  6. Step 6: Final answer
    x = 962,567.65

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.