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Finding the Third Proportional to 356,597.44 and 840,930.19

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Solution

The third proportional to 356,597.44 and 840,930.19 is: 1,983,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,597.44 : 840,930.19 = 840,930.19 : x
  2. Step 2: Convert to fraction form
    356,597.44/840,930.19 = 840,930.19/x
  3. Step 3: Cross multiply
    356,597.44x = 840,930.19 × 840,930.19
  4. Step 4: Simplify right side
    356,597.44x = 707,163,580,248.79
  5. Step 5: Solve for x
    x = 707,163,580,248.79/356,597.44
  6. Step 6: Final answer
    x = 1,983,086.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.