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Finding the Third Proportional to 713,185 and 971,361

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Solution

The third proportional to 713,185 and 971,361 is: 1,322,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,185 : 971,361 = 971,361 : x
  2. Step 2: Convert to fraction form
    713,185/971,361 = 971,361/x
  3. Step 3: Cross multiply
    713,185x = 971,361 × 971,361
  4. Step 4: Simplify right side
    713,185x = 943,542,192,321
  5. Step 5: Solve for x
    x = 943,542,192,321/713,185
  6. Step 6: Final answer
    x = 1,322,997.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.