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Finding the Third Proportional to 416,098 and 609,336

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Solution

The third proportional to 416,098 and 609,336 is: 892,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,098 : 609,336 = 609,336 : x
  2. Step 2: Convert to fraction form
    416,098/609,336 = 609,336/x
  3. Step 3: Cross multiply
    416,098x = 609,336 × 609,336
  4. Step 4: Simplify right side
    416,098x = 371,290,360,896
  5. Step 5: Solve for x
    x = 371,290,360,896/416,098
  6. Step 6: Final answer
    x = 892,314.70

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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.