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Finding the Third Proportional to 420 and 651.94

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Solution

The third proportional to 420 and 651.94 is: 1,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 651.94 = 651.94 : x
  2. Step 2: Convert to fraction form
    420/651.94 = 651.94/x
  3. Step 3: Cross multiply
    420x = 651.94 × 651.94
  4. Step 4: Simplify right side
    420x = 425,022.50
  5. Step 5: Solve for x
    x = 425,022.50/420
  6. Step 6: Final answer
    x = 1,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.