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Finding the Third Proportional to 323,780 and 695,132

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Solution

The third proportional to 323,780 and 695,132 is: 1,492,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,780 : 695,132 = 695,132 : x
  2. Step 2: Convert to fraction form
    323,780/695,132 = 695,132/x
  3. Step 3: Cross multiply
    323,780x = 695,132 × 695,132
  4. Step 4: Simplify right side
    323,780x = 483,208,497,424
  5. Step 5: Solve for x
    x = 483,208,497,424/323,780
  6. Step 6: Final answer
    x = 1,492,397.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.