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Finding the Third Proportional to 461.32 and 999.53

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Solution

The third proportional to 461.32 and 999.53 is: 2,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 999.53 = 999.53 : x
  2. Step 2: Convert to fraction form
    461.32/999.53 = 999.53/x
  3. Step 3: Cross multiply
    461.32x = 999.53 × 999.53
  4. Step 4: Simplify right side
    461.32x = 999,054.91
  5. Step 5: Solve for x
    x = 999,054.91/461.32
  6. Step 6: Final answer
    x = 2,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.