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Finding the Third Proportional to 416,090 and 609,324

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Solution

The third proportional to 416,090 and 609,324 is: 892,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,090 : 609,324 = 609,324 : x
  2. Step 2: Convert to fraction form
    416,090/609,324 = 609,324/x
  3. Step 3: Cross multiply
    416,090x = 609,324 × 609,324
  4. Step 4: Simplify right side
    416,090x = 371,275,736,976
  5. Step 5: Solve for x
    x = 371,275,736,976/416,090
  6. Step 6: Final answer
    x = 892,296.71

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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.