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Finding the Third Proportional to 323,793 and 695,160

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Solution

The third proportional to 323,793 and 695,160 is: 1,492,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,793 : 695,160 = 695,160 : x
  2. Step 2: Convert to fraction form
    323,793/695,160 = 695,160/x
  3. Step 3: Cross multiply
    323,793x = 695,160 × 695,160
  4. Step 4: Simplify right side
    323,793x = 483,247,425,600
  5. Step 5: Solve for x
    x = 483,247,425,600/323,793
  6. Step 6: Final answer
    x = 1,492,457.91

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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.