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Finding the Third Proportional to 464.17 and 973.90

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Solution

The third proportional to 464.17 and 973.90 is: 2,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.17 : 973.90 = 973.90 : x
  2. Step 2: Convert to fraction form
    464.17/973.90 = 973.90/x
  3. Step 3: Cross multiply
    464.17x = 973.90 × 973.90
  4. Step 4: Simplify right side
    464.17x = 948,478.17
  5. Step 5: Solve for x
    x = 948,478.17/464.17
  6. Step 6: Final answer
    x = 2,043.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.