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Finding the Third Proportional to 380,968 and 902,560

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Solution

The third proportional to 380,968 and 902,560 is: 2,138,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,968 : 902,560 = 902,560 : x
  2. Step 2: Convert to fraction form
    380,968/902,560 = 902,560/x
  3. Step 3: Cross multiply
    380,968x = 902,560 × 902,560
  4. Step 4: Simplify right side
    380,968x = 814,614,553,600
  5. Step 5: Solve for x
    x = 814,614,553,600/380,968
  6. Step 6: Final answer
    x = 2,138,275.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.