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Finding the Third Proportional to 382,401 and 607,347

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Solution

The third proportional to 382,401 and 607,347 is: 964,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,401 : 607,347 = 607,347 : x
  2. Step 2: Convert to fraction form
    382,401/607,347 = 607,347/x
  3. Step 3: Cross multiply
    382,401x = 607,347 × 607,347
  4. Step 4: Simplify right side
    382,401x = 368,870,378,409
  5. Step 5: Solve for x
    x = 368,870,378,409/382,401
  6. Step 6: Final answer
    x = 964,616.67

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Why These Related Problems?

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