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Finding the Third Proportional to 478.31 and 1,055.06

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Solution

The third proportional to 478.31 and 1,055.06 is: 2,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.31 : 1,055.06 = 1,055.06 : x
  2. Step 2: Convert to fraction form
    478.31/1,055.06 = 1,055.06/x
  3. Step 3: Cross multiply
    478.31x = 1,055.06 × 1,055.06
  4. Step 4: Simplify right side
    478.31x = 1,113,156.88
  5. Step 5: Solve for x
    x = 1,113,156.88/478.31
  6. Step 6: Final answer
    x = 2,327.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.