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Finding the Third Proportional to 973.31 and 1,470.09

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Solution

The third proportional to 973.31 and 1,470.09 is: 2,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.31 : 1,470.09 = 1,470.09 : x
  2. Step 2: Convert to fraction form
    973.31/1,470.09 = 1,470.09/x
  3. Step 3: Cross multiply
    973.31x = 1,470.09 × 1,470.09
  4. Step 4: Simplify right side
    973.31x = 2,161,175.63
  5. Step 5: Solve for x
    x = 2,161,175.63/973.31
  6. Step 6: Final answer
    x = 2,220.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.