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Finding the Third Proportional to 327,332 and 706,312

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Solution

The third proportional to 327,332 and 706,312 is: 1,524,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,332 : 706,312 = 706,312 : x
  2. Step 2: Convert to fraction form
    327,332/706,312 = 706,312/x
  3. Step 3: Cross multiply
    327,332x = 706,312 × 706,312
  4. Step 4: Simplify right side
    327,332x = 498,876,641,344
  5. Step 5: Solve for x
    x = 498,876,641,344/327,332
  6. Step 6: Final answer
    x = 1,524,069.27

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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.