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Finding the Third Proportional to 323,428 and 703,396

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Solution

The third proportional to 323,428 and 703,396 is: 1,529,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,428 : 703,396 = 703,396 : x
  2. Step 2: Convert to fraction form
    323,428/703,396 = 703,396/x
  3. Step 3: Cross multiply
    323,428x = 703,396 × 703,396
  4. Step 4: Simplify right side
    323,428x = 494,765,932,816
  5. Step 5: Solve for x
    x = 494,765,932,816/323,428
  6. Step 6: Final answer
    x = 1,529,756.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.