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Finding the Third Proportional to 382,401 and 607,348.50

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Solution

The third proportional to 382,401 and 607,348.50 is: 964,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,401 : 607,348.50 = 607,348.50 : x
  2. Step 2: Convert to fraction form
    382,401/607,348.50 = 607,348.50/x
  3. Step 3: Cross multiply
    382,401x = 607,348.50 × 607,348.50
  4. Step 4: Simplify right side
    382,401x = 368,872,200,452.25
  5. Step 5: Solve for x
    x = 368,872,200,452.25/382,401
  6. Step 6: Final answer
    x = 964,621.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.