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Finding the Third Proportional to 355,291.50 and 546,114.75

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Solution

The third proportional to 355,291.50 and 546,114.75 is: 839,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,291.50 : 546,114.75 = 546,114.75 : x
  2. Step 2: Convert to fraction form
    355,291.50/546,114.75 = 546,114.75/x
  3. Step 3: Cross multiply
    355,291.50x = 546,114.75 × 546,114.75
  4. Step 4: Simplify right side
    355,291.50x = 298,241,320,167.56
  5. Step 5: Solve for x
    x = 298,241,320,167.56/355,291.50
  6. Step 6: Final answer
    x = 839,427.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.