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Finding the Third Proportional to 327,348 and 706,338

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Solution

The third proportional to 327,348 and 706,338 is: 1,524,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,348 : 706,338 = 706,338 : x
  2. Step 2: Convert to fraction form
    327,348/706,338 = 706,338/x
  3. Step 3: Cross multiply
    327,348x = 706,338 × 706,338
  4. Step 4: Simplify right side
    327,348x = 498,913,370,244
  5. Step 5: Solve for x
    x = 498,913,370,244/327,348
  6. Step 6: Final answer
    x = 1,524,106.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.