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Finding the Third Proportional to 713,193 and 971,373

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Solution

The third proportional to 713,193 and 971,373 is: 1,323,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,193 : 971,373 = 971,373 : x
  2. Step 2: Convert to fraction form
    713,193/971,373 = 971,373/x
  3. Step 3: Cross multiply
    713,193x = 971,373 × 971,373
  4. Step 4: Simplify right side
    713,193x = 943,565,505,129
  5. Step 5: Solve for x
    x = 943,565,505,129/713,193
  6. Step 6: Final answer
    x = 1,323,015.66

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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.