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Finding the Third Proportional to 647,538 and 971,307

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Solution

The third proportional to 647,538 and 971,307 is: 1,456,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,538 : 971,307 = 971,307 : x
  2. Step 2: Convert to fraction form
    647,538/971,307 = 971,307/x
  3. Step 3: Cross multiply
    647,538x = 971,307 × 971,307
  4. Step 4: Simplify right side
    647,538x = 943,437,288,249
  5. Step 5: Solve for x
    x = 943,437,288,249/647,538
  6. Step 6: Final answer
    x = 1,456,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.