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Finding the Third Proportional to 295,928 and 451,263

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Solution

The third proportional to 295,928 and 451,263 is: 688,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,928 : 451,263 = 451,263 : x
  2. Step 2: Convert to fraction form
    295,928/451,263 = 451,263/x
  3. Step 3: Cross multiply
    295,928x = 451,263 × 451,263
  4. Step 4: Simplify right side
    295,928x = 203,638,295,169
  5. Step 5: Solve for x
    x = 203,638,295,169/295,928
  6. Step 6: Final answer
    x = 688,134.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.