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Finding the Third Proportional to 322,954.50 and 695,265

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Solution

The third proportional to 322,954.50 and 695,265 is: 1,496,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,954.50 : 695,265 = 695,265 : x
  2. Step 2: Convert to fraction form
    322,954.50/695,265 = 695,265/x
  3. Step 3: Cross multiply
    322,954.50x = 695,265 × 695,265
  4. Step 4: Simplify right side
    322,954.50x = 483,393,420,225
  5. Step 5: Solve for x
    x = 483,393,420,225/322,954.50
  6. Step 6: Final answer
    x = 1,496,784.90

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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.