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Finding the Third Proportional to 323,408 and 697,360

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Solution

The third proportional to 323,408 and 697,360 is: 1,503,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,408 : 697,360 = 697,360 : x
  2. Step 2: Convert to fraction form
    323,408/697,360 = 697,360/x
  3. Step 3: Cross multiply
    323,408x = 697,360 × 697,360
  4. Step 4: Simplify right side
    323,408x = 486,310,969,600
  5. Step 5: Solve for x
    x = 486,310,969,600/323,408
  6. Step 6: Final answer
    x = 1,503,707.30

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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.