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Finding the Third Proportional to 426,234 and 636,433.50

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Solution

The third proportional to 426,234 and 636,433.50 is: 950,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,234 : 636,433.50 = 636,433.50 : x
  2. Step 2: Convert to fraction form
    426,234/636,433.50 = 636,433.50/x
  3. Step 3: Cross multiply
    426,234x = 636,433.50 × 636,433.50
  4. Step 4: Simplify right side
    426,234x = 405,047,599,922.25
  5. Step 5: Solve for x
    x = 405,047,599,922.25/426,234
  6. Step 6: Final answer
    x = 950,293.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.