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Finding the Third Proportional to 323,232 and 703,432

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Solution

The third proportional to 323,232 and 703,432 is: 1,530,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,232 : 703,432 = 703,432 : x
  2. Step 2: Convert to fraction form
    323,232/703,432 = 703,432/x
  3. Step 3: Cross multiply
    323,232x = 703,432 × 703,432
  4. Step 4: Simplify right side
    323,232x = 494,816,578,624
  5. Step 5: Solve for x
    x = 494,816,578,624/323,232
  6. Step 6: Final answer
    x = 1,530,840.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.