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Finding the Third Proportional to 323,300 and 703,270

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Solution

The third proportional to 323,300 and 703,270 is: 1,529,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,300 : 703,270 = 703,270 : x
  2. Step 2: Convert to fraction form
    323,300/703,270 = 703,270/x
  3. Step 3: Cross multiply
    323,300x = 703,270 × 703,270
  4. Step 4: Simplify right side
    323,300x = 494,588,692,900
  5. Step 5: Solve for x
    x = 494,588,692,900/323,300
  6. Step 6: Final answer
    x = 1,529,813.46

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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.