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Finding the Third Proportional to 616,268.25 and 1,330,951.50

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Solution

The third proportional to 616,268.25 and 1,330,951.50 is: 2,874,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,268.25 : 1,330,951.50 = 1,330,951.50 : x
  2. Step 2: Convert to fraction form
    616,268.25/1,330,951.50 = 1,330,951.50/x
  3. Step 3: Cross multiply
    616,268.25x = 1,330,951.50 × 1,330,951.50
  4. Step 4: Simplify right side
    616,268.25x = 1,771,431,895,352.25
  5. Step 5: Solve for x
    x = 1,771,431,895,352.25/616,268.25
  6. Step 6: Final answer
    x = 2,874,449.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.