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Finding the Third Proportional to 364,076.50 and 546,114.50

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Solution

The third proportional to 364,076.50 and 546,114.50 is: 819,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,076.50 : 546,114.50 = 546,114.50 : x
  2. Step 2: Convert to fraction form
    364,076.50/546,114.50 = 546,114.50/x
  3. Step 3: Cross multiply
    364,076.50x = 546,114.50 × 546,114.50
  4. Step 4: Simplify right side
    364,076.50x = 298,241,047,110.25
  5. Step 5: Solve for x
    x = 298,241,047,110.25/364,076.50
  6. Step 6: Final answer
    x = 819,171.38

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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.