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Finding the Third Proportional to 416,300 and 594,881

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Solution

The third proportional to 416,300 and 594,881 is: 850,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,300 : 594,881 = 594,881 : x
  2. Step 2: Convert to fraction form
    416,300/594,881 = 594,881/x
  3. Step 3: Cross multiply
    416,300x = 594,881 × 594,881
  4. Step 4: Simplify right side
    416,300x = 353,883,404,161
  5. Step 5: Solve for x
    x = 353,883,404,161/416,300
  6. Step 6: Final answer
    x = 850,068.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.