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Finding the Third Proportional to 416,048 and 609,260

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Solution

The third proportional to 416,048 and 609,260 is: 892,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,048 : 609,260 = 609,260 : x
  2. Step 2: Convert to fraction form
    416,048/609,260 = 609,260/x
  3. Step 3: Cross multiply
    416,048x = 609,260 × 609,260
  4. Step 4: Simplify right side
    416,048x = 371,197,747,600
  5. Step 5: Solve for x
    x = 371,197,747,600/416,048
  6. Step 6: Final answer
    x = 892,199.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.