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Finding the Third Proportional to 323,776 and 695,126

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Solution

The third proportional to 323,776 and 695,126 is: 1,492,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,776 : 695,126 = 695,126 : x
  2. Step 2: Convert to fraction form
    323,776/695,126 = 695,126/x
  3. Step 3: Cross multiply
    323,776x = 695,126 × 695,126
  4. Step 4: Simplify right side
    323,776x = 483,200,155,876
  5. Step 5: Solve for x
    x = 483,200,155,876/323,776
  6. Step 6: Final answer
    x = 1,492,390.28

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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.