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Finding the Third Proportional to 616,734.75 and 949,185.75

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Solution

The third proportional to 616,734.75 and 949,185.75 is: 1,460,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,734.75 : 949,185.75 = 949,185.75 : x
  2. Step 2: Convert to fraction form
    616,734.75/949,185.75 = 949,185.75/x
  3. Step 3: Cross multiply
    616,734.75x = 949,185.75 × 949,185.75
  4. Step 4: Simplify right side
    616,734.75x = 900,953,588,003.06
  5. Step 5: Solve for x
    x = 900,953,588,003.06/616,734.75
  6. Step 6: Final answer
    x = 1,460,844.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.