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Finding the Third Proportional to 383,084 and 606,297

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Solution

The third proportional to 383,084 and 606,297 is: 959,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,084 : 606,297 = 606,297 : x
  2. Step 2: Convert to fraction form
    383,084/606,297 = 606,297/x
  3. Step 3: Cross multiply
    383,084x = 606,297 × 606,297
  4. Step 4: Simplify right side
    383,084x = 367,596,052,209
  5. Step 5: Solve for x
    x = 367,596,052,209/383,084
  6. Step 6: Final answer
    x = 959,570.36

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Why These Related Problems?

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