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Finding the Third Proportional to 285,114.94 and 426,829.50

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Solution

The third proportional to 285,114.94 and 426,829.50 is: 638,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,114.94 : 426,829.50 = 426,829.50 : x
  2. Step 2: Convert to fraction form
    285,114.94/426,829.50 = 426,829.50/x
  3. Step 3: Cross multiply
    285,114.94x = 426,829.50 × 426,829.50
  4. Step 4: Simplify right side
    285,114.94x = 182,183,422,070.25
  5. Step 5: Solve for x
    x = 182,183,422,070.25/285,114.94
  6. Step 6: Final answer
    x = 638,982.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.