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Finding the Third Proportional to 434,079 and 940,329

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Solution

The third proportional to 434,079 and 940,329 is: 2,036,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,079 : 940,329 = 940,329 : x
  2. Step 2: Convert to fraction form
    434,079/940,329 = 940,329/x
  3. Step 3: Cross multiply
    434,079x = 940,329 × 940,329
  4. Step 4: Simplify right side
    434,079x = 884,218,628,241
  5. Step 5: Solve for x
    x = 884,218,628,241/434,079
  6. Step 6: Final answer
    x = 2,036,999.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.