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Finding the Third Proportional to 326,643 and 703,344

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Solution

The third proportional to 326,643 and 703,344 is: 1,514,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,643 : 703,344 = 703,344 : x
  2. Step 2: Convert to fraction form
    326,643/703,344 = 703,344/x
  3. Step 3: Cross multiply
    326,643x = 703,344 × 703,344
  4. Step 4: Simplify right side
    326,643x = 494,692,782,336
  5. Step 5: Solve for x
    x = 494,692,782,336/326,643
  6. Step 6: Final answer
    x = 1,514,475.38

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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.