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Finding the Third Proportional to 341,184 and 793,152

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Solution

The third proportional to 341,184 and 793,152 is: 1,843,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,184 : 793,152 = 793,152 : x
  2. Step 2: Convert to fraction form
    341,184/793,152 = 793,152/x
  3. Step 3: Cross multiply
    341,184x = 793,152 × 793,152
  4. Step 4: Simplify right side
    341,184x = 629,090,095,104
  5. Step 5: Solve for x
    x = 629,090,095,104/341,184
  6. Step 6: Final answer
    x = 1,843,844.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.