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Finding the Third Proportional to 438.94 and 947.06

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Solution

The third proportional to 438.94 and 947.06 is: 2,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 947.06 = 947.06 : x
  2. Step 2: Convert to fraction form
    438.94/947.06 = 947.06/x
  3. Step 3: Cross multiply
    438.94x = 947.06 × 947.06
  4. Step 4: Simplify right side
    438.94x = 896,927.38
  5. Step 5: Solve for x
    x = 896,927.38/438.94
  6. Step 6: Final answer
    x = 2,043.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.