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Finding the Third Proportional to 647,667 and 971,572.50

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Solution

The third proportional to 647,667 and 971,572.50 is: 1,457,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,667 : 971,572.50 = 971,572.50 : x
  2. Step 2: Convert to fraction form
    647,667/971,572.50 = 971,572.50/x
  3. Step 3: Cross multiply
    647,667x = 971,572.50 × 971,572.50
  4. Step 4: Simplify right side
    647,667x = 943,953,122,756.25
  5. Step 5: Solve for x
    x = 943,953,122,756.25/647,667
  6. Step 6: Final answer
    x = 1,457,466.76

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