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Finding the Third Proportional to 383,051 and 606,252

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Solution

The third proportional to 383,051 and 606,252 is: 959,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,051 : 606,252 = 606,252 : x
  2. Step 2: Convert to fraction form
    383,051/606,252 = 606,252/x
  3. Step 3: Cross multiply
    383,051x = 606,252 × 606,252
  4. Step 4: Simplify right side
    383,051x = 367,541,487,504
  5. Step 5: Solve for x
    x = 367,541,487,504/383,051
  6. Step 6: Final answer
    x = 959,510.58

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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.