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Finding the Third Proportional to 386,335.83 and 839,140.70

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Solution

The third proportional to 386,335.83 and 839,140.70 is: 1,822,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,335.83 : 839,140.70 = 839,140.70 : x
  2. Step 2: Convert to fraction form
    386,335.83/839,140.70 = 839,140.70/x
  3. Step 3: Cross multiply
    386,335.83x = 839,140.70 × 839,140.70
  4. Step 4: Simplify right side
    386,335.83x = 704,157,113,085.33
  5. Step 5: Solve for x
    x = 704,157,113,085.33/386,335.83
  6. Step 6: Final answer
    x = 1,822,655.48

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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.