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Finding the Third Proportional to 647 and 972

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Solution

The third proportional to 647 and 972 is: 1,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 972 = 972 : x
  2. Step 2: Convert to fraction form
    647/972 = 972/x
  3. Step 3: Cross multiply
    647x = 972 × 972
  4. Step 4: Simplify right side
    647x = 944,784
  5. Step 5: Solve for x
    x = 944,784/647
  6. Step 6: Final answer
    x = 1,460.25

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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.