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Finding the Third Proportional to 301,174.50 and 466,342.50

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Solution

The third proportional to 301,174.50 and 466,342.50 is: 722,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,174.50 : 466,342.50 = 466,342.50 : x
  2. Step 2: Convert to fraction form
    301,174.50/466,342.50 = 466,342.50/x
  3. Step 3: Cross multiply
    301,174.50x = 466,342.50 × 466,342.50
  4. Step 4: Simplify right side
    301,174.50x = 217,475,327,306.25
  5. Step 5: Solve for x
    x = 217,475,327,306.25/301,174.50
  6. Step 6: Final answer
    x = 722,090.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.