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Finding the Third Proportional to 383,031 and 606,222

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Solution

The third proportional to 383,031 and 606,222 is: 959,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,031 : 606,222 = 606,222 : x
  2. Step 2: Convert to fraction form
    383,031/606,222 = 606,222/x
  3. Step 3: Cross multiply
    383,031x = 606,222 × 606,222
  4. Step 4: Simplify right side
    383,031x = 367,505,113,284
  5. Step 5: Solve for x
    x = 367,505,113,284/383,031
  6. Step 6: Final answer
    x = 959,465.72

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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.