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Finding the Third Proportional to 383,040 and 606,235.50

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Solution

The third proportional to 383,040 and 606,235.50 is: 959,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,040 : 606,235.50 = 606,235.50 : x
  2. Step 2: Convert to fraction form
    383,040/606,235.50 = 606,235.50/x
  3. Step 3: Cross multiply
    383,040x = 606,235.50 × 606,235.50
  4. Step 4: Simplify right side
    383,040x = 367,521,481,460.25
  5. Step 5: Solve for x
    x = 367,521,481,460.25/383,040
  6. Step 6: Final answer
    x = 959,485.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.