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Finding the Third Proportional to 463.31 and 999.94

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Solution

The third proportional to 463.31 and 999.94 is: 2,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.31 : 999.94 = 999.94 : x
  2. Step 2: Convert to fraction form
    463.31/999.94 = 999.94/x
  3. Step 3: Cross multiply
    463.31x = 999.94 × 999.94
  4. Step 4: Simplify right side
    463.31x = 999,875.00
  5. Step 5: Solve for x
    x = 999,875.00/463.31
  6. Step 6: Final answer
    x = 2,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.