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Finding the Third Proportional to 323,322 and 702,604

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Solution

The third proportional to 323,322 and 702,604 is: 1,526,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,322 : 702,604 = 702,604 : x
  2. Step 2: Convert to fraction form
    323,322/702,604 = 702,604/x
  3. Step 3: Cross multiply
    323,322x = 702,604 × 702,604
  4. Step 4: Simplify right side
    323,322x = 493,652,380,816
  5. Step 5: Solve for x
    x = 493,652,380,816/323,322
  6. Step 6: Final answer
    x = 1,526,813.46

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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.