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Finding the Third Proportional to 290,928 and 426,800

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Solution

The third proportional to 290,928 and 426,800 is: 626,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,928 : 426,800 = 426,800 : x
  2. Step 2: Convert to fraction form
    290,928/426,800 = 426,800/x
  3. Step 3: Cross multiply
    290,928x = 426,800 × 426,800
  4. Step 4: Simplify right side
    290,928x = 182,158,240,000
  5. Step 5: Solve for x
    x = 182,158,240,000/290,928
  6. Step 6: Final answer
    x = 626,128.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.