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Finding the Third Proportional to 384,243.75 and 837,681.75

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Solution

The third proportional to 384,243.75 and 837,681.75 is: 1,826,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,243.75 : 837,681.75 = 837,681.75 : x
  2. Step 2: Convert to fraction form
    384,243.75/837,681.75 = 837,681.75/x
  3. Step 3: Cross multiply
    384,243.75x = 837,681.75 × 837,681.75
  4. Step 4: Simplify right side
    384,243.75x = 701,710,714,283.06
  5. Step 5: Solve for x
    x = 701,710,714,283.06/384,243.75
  6. Step 6: Final answer
    x = 1,826,212.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.