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Finding the Third Proportional to 713,189 and 971,367

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Solution

The third proportional to 713,189 and 971,367 is: 1,323,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,189 : 971,367 = 971,367 : x
  2. Step 2: Convert to fraction form
    713,189/971,367 = 971,367/x
  3. Step 3: Cross multiply
    713,189x = 971,367 × 971,367
  4. Step 4: Simplify right side
    713,189x = 943,553,848,689
  5. Step 5: Solve for x
    x = 943,553,848,689/713,189
  6. Step 6: Final answer
    x = 1,323,006.73

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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.