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Finding the Third Proportional to 428 and 459.50

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Solution

The third proportional to 428 and 459.50 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428 : 459.50 = 459.50 : x
  2. Step 2: Convert to fraction form
    428/459.50 = 459.50/x
  3. Step 3: Cross multiply
    428x = 459.50 × 459.50
  4. Step 4: Simplify right side
    428x = 211,140.25
  5. Step 5: Solve for x
    x = 211,140.25/428
  6. Step 6: Final answer
    x = 493.32

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.