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Finding the Third Proportional to 326,640 and 703,338

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Solution

The third proportional to 326,640 and 703,338 is: 1,514,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,640 : 703,338 = 703,338 : x
  2. Step 2: Convert to fraction form
    326,640/703,338 = 703,338/x
  3. Step 3: Cross multiply
    326,640x = 703,338 × 703,338
  4. Step 4: Simplify right side
    326,640x = 494,684,342,244
  5. Step 5: Solve for x
    x = 494,684,342,244/326,640
  6. Step 6: Final answer
    x = 1,514,463.45

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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.