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Finding the Third Proportional to 387,185.06 and 830,418.96

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Solution

The third proportional to 387,185.06 and 830,418.96 is: 1,781,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,185.06 : 830,418.96 = 830,418.96 : x
  2. Step 2: Convert to fraction form
    387,185.06/830,418.96 = 830,418.96/x
  3. Step 3: Cross multiply
    387,185.06x = 830,418.96 × 830,418.96
  4. Step 4: Simplify right side
    387,185.06x = 689,595,650,684.52
  5. Step 5: Solve for x
    x = 689,595,650,684.52/387,185.06
  6. Step 6: Final answer
    x = 1,781,049.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.