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Finding the Third Proportional to 470.25 and 973.41

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Solution

The third proportional to 470.25 and 973.41 is: 2,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.25 : 973.41 = 973.41 : x
  2. Step 2: Convert to fraction form
    470.25/973.41 = 973.41/x
  3. Step 3: Cross multiply
    470.25x = 973.41 × 973.41
  4. Step 4: Simplify right side
    470.25x = 947,519.73
  5. Step 5: Solve for x
    x = 947,519.73/470.25
  6. Step 6: Final answer
    x = 2,014.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.