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Finding the Third Proportional to 380,160 and 883,968

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Solution

The third proportional to 380,160 and 883,968 is: 2,055,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,160 : 883,968 = 883,968 : x
  2. Step 2: Convert to fraction form
    380,160/883,968 = 883,968/x
  3. Step 3: Cross multiply
    380,160x = 883,968 × 883,968
  4. Step 4: Simplify right side
    380,160x = 781,399,425,024
  5. Step 5: Solve for x
    x = 781,399,425,024/380,160
  6. Step 6: Final answer
    x = 2,055,448.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.