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Finding the Third Proportional to 287,744 and 619,104

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Solution

The third proportional to 287,744 and 619,104 is: 1,332,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,744 : 619,104 = 619,104 : x
  2. Step 2: Convert to fraction form
    287,744/619,104 = 619,104/x
  3. Step 3: Cross multiply
    287,744x = 619,104 × 619,104
  4. Step 4: Simplify right side
    287,744x = 383,289,762,816
  5. Step 5: Solve for x
    x = 383,289,762,816/287,744
  6. Step 6: Final answer
    x = 1,332,051.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.