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Finding the Third Proportional to 426.94 and 560.46

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Solution

The third proportional to 426.94 and 560.46 is: 735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 560.46 = 560.46 : x
  2. Step 2: Convert to fraction form
    426.94/560.46 = 560.46/x
  3. Step 3: Cross multiply
    426.94x = 560.46 × 560.46
  4. Step 4: Simplify right side
    426.94x = 314,116.46
  5. Step 5: Solve for x
    x = 314,116.46/426.94
  6. Step 6: Final answer
    x = 735.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.