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Finding the Third Proportional to 283,317 and 616,480.50

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Solution

The third proportional to 283,317 and 616,480.50 is: 1,341,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,317 : 616,480.50 = 616,480.50 : x
  2. Step 2: Convert to fraction form
    283,317/616,480.50 = 616,480.50/x
  3. Step 3: Cross multiply
    283,317x = 616,480.50 × 616,480.50
  4. Step 4: Simplify right side
    283,317x = 380,048,206,880.25
  5. Step 5: Solve for x
    x = 380,048,206,880.25/283,317
  6. Step 6: Final answer
    x = 1,341,423.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.