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Finding the Third Proportional to 442.88 and 973.31

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Solution

The third proportional to 442.88 and 973.31 is: 2,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 973.31 = 973.31 : x
  2. Step 2: Convert to fraction form
    442.88/973.31 = 973.31/x
  3. Step 3: Cross multiply
    442.88x = 973.31 × 973.31
  4. Step 4: Simplify right side
    442.88x = 947,337.22
  5. Step 5: Solve for x
    x = 947,337.22/442.88
  6. Step 6: Final answer
    x = 2,139.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.