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Finding the Third Proportional to 388,112 and 583,608

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Solution

The third proportional to 388,112 and 583,608 is: 877,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,112 : 583,608 = 583,608 : x
  2. Step 2: Convert to fraction form
    388,112/583,608 = 583,608/x
  3. Step 3: Cross multiply
    388,112x = 583,608 × 583,608
  4. Step 4: Simplify right side
    388,112x = 340,598,297,664
  5. Step 5: Solve for x
    x = 340,598,297,664/388,112
  6. Step 6: Final answer
    x = 877,577.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.