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Finding the Third Proportional to 416,324 and 594,906

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Solution

The third proportional to 416,324 and 594,906 is: 850,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,324 : 594,906 = 594,906 : x
  2. Step 2: Convert to fraction form
    416,324/594,906 = 594,906/x
  3. Step 3: Cross multiply
    416,324x = 594,906 × 594,906
  4. Step 4: Simplify right side
    416,324x = 353,913,148,836
  5. Step 5: Solve for x
    x = 353,913,148,836/416,324
  6. Step 6: Final answer
    x = 850,090.67

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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.