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Finding the Third Proportional to 647,558 and 971,338

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Solution

The third proportional to 647,558 and 971,338 is: 1,457,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,558 : 971,338 = 971,338 : x
  2. Step 2: Convert to fraction form
    647,558/971,338 = 971,338/x
  3. Step 3: Cross multiply
    647,558x = 971,338 × 971,338
  4. Step 4: Simplify right side
    647,558x = 943,497,510,244
  5. Step 5: Solve for x
    x = 943,497,510,244/647,558
  6. Step 6: Final answer
    x = 1,457,008.50

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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.