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Finding the Third Proportional to 434.53 and 932.34

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Solution

The third proportional to 434.53 and 932.34 is: 2,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 932.34 = 932.34 : x
  2. Step 2: Convert to fraction form
    434.53/932.34 = 932.34/x
  3. Step 3: Cross multiply
    434.53x = 932.34 × 932.34
  4. Step 4: Simplify right side
    434.53x = 869,264.87
  5. Step 5: Solve for x
    x = 869,264.87/434.53
  6. Step 6: Final answer
    x = 2,000.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.