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Finding the Third Proportional to 384,357.66 and 841,112.44

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Solution

The third proportional to 384,357.66 and 841,112.44 is: 1,840,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,357.66 : 841,112.44 = 841,112.44 : x
  2. Step 2: Convert to fraction form
    384,357.66/841,112.44 = 841,112.44/x
  3. Step 3: Cross multiply
    384,357.66x = 841,112.44 × 841,112.44
  4. Step 4: Simplify right side
    384,357.66x = 707,470,132,517.19
  5. Step 5: Solve for x
    x = 707,470,132,517.19/384,357.66
  6. Step 6: Final answer
    x = 1,840,655.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.