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Finding the Third Proportional to 342,696 and 737,904

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Solution

The third proportional to 342,696 and 737,904 is: 1,588,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,696 : 737,904 = 737,904 : x
  2. Step 2: Convert to fraction form
    342,696/737,904 = 737,904/x
  3. Step 3: Cross multiply
    342,696x = 737,904 × 737,904
  4. Step 4: Simplify right side
    342,696x = 544,502,313,216
  5. Step 5: Solve for x
    x = 544,502,313,216/342,696
  6. Step 6: Final answer
    x = 1,588,878.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.