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Finding the Third Proportional to 416,632 and 892,308.50

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Solution

The third proportional to 416,632 and 892,308.50 is: 1,911,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,632 : 892,308.50 = 892,308.50 : x
  2. Step 2: Convert to fraction form
    416,632/892,308.50 = 892,308.50/x
  3. Step 3: Cross multiply
    416,632x = 892,308.50 × 892,308.50
  4. Step 4: Simplify right side
    416,632x = 796,214,459,172.25
  5. Step 5: Solve for x
    x = 796,214,459,172.25/416,632
  6. Step 6: Final answer
    x = 1,911,073.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.