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Finding the Third Proportional to 301,921.50 and 616,951.50

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Solution

The third proportional to 301,921.50 and 616,951.50 is: 1,260,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,921.50 : 616,951.50 = 616,951.50 : x
  2. Step 2: Convert to fraction form
    301,921.50/616,951.50 = 616,951.50/x
  3. Step 3: Cross multiply
    301,921.50x = 616,951.50 × 616,951.50
  4. Step 4: Simplify right side
    301,921.50x = 380,629,153,352.25
  5. Step 5: Solve for x
    x = 380,629,153,352.25/301,921.50
  6. Step 6: Final answer
    x = 1,260,689.13

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.