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Finding the Third Proportional to 260,274 and 354,576

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Solution

The third proportional to 260,274 and 354,576 is: 483,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,274 : 354,576 = 354,576 : x
  2. Step 2: Convert to fraction form
    260,274/354,576 = 354,576/x
  3. Step 3: Cross multiply
    260,274x = 354,576 × 354,576
  4. Step 4: Simplify right side
    260,274x = 125,724,139,776
  5. Step 5: Solve for x
    x = 125,724,139,776/260,274
  6. Step 6: Final answer
    x = 483,045.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.