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Finding the Third Proportional to 647,534 and 971,296

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Solution

The third proportional to 647,534 and 971,296 is: 1,456,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,534 : 971,296 = 971,296 : x
  2. Step 2: Convert to fraction form
    647,534/971,296 = 971,296/x
  3. Step 3: Cross multiply
    647,534x = 971,296 × 971,296
  4. Step 4: Simplify right side
    647,534x = 943,415,919,616
  5. Step 5: Solve for x
    x = 943,415,919,616/647,534
  6. Step 6: Final answer
    x = 1,456,936.50

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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.