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Finding the Third Proportional to 416,094 and 609,330

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Solution

The third proportional to 416,094 and 609,330 is: 892,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,094 : 609,330 = 609,330 : x
  2. Step 2: Convert to fraction form
    416,094/609,330 = 609,330/x
  3. Step 3: Cross multiply
    416,094x = 609,330 × 609,330
  4. Step 4: Simplify right side
    416,094x = 371,283,048,900
  5. Step 5: Solve for x
    x = 371,283,048,900/416,094
  6. Step 6: Final answer
    x = 892,305.70

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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.