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Finding the Third Proportional to 470.63 and 973.88

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Solution

The third proportional to 470.63 and 973.88 is: 2,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.63 : 973.88 = 973.88 : x
  2. Step 2: Convert to fraction form
    470.63/973.88 = 973.88/x
  3. Step 3: Cross multiply
    470.63x = 973.88 × 973.88
  4. Step 4: Simplify right side
    470.63x = 948,432.52
  5. Step 5: Solve for x
    x = 948,432.52/470.63
  6. Step 6: Final answer
    x = 2,015.26

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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.