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Finding the Third Proportional to 301,943 and 616,995

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Solution

The third proportional to 301,943 and 616,995 is: 1,260,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,943 : 616,995 = 616,995 : x
  2. Step 2: Convert to fraction form
    301,943/616,995 = 616,995/x
  3. Step 3: Cross multiply
    301,943x = 616,995 × 616,995
  4. Step 4: Simplify right side
    301,943x = 380,682,830,025
  5. Step 5: Solve for x
    x = 380,682,830,025/301,943
  6. Step 6: Final answer
    x = 1,260,777.13

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Why These Related Problems?

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