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Finding the Third Proportional to 272,394 and 422,758.50

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Solution

The third proportional to 272,394 and 422,758.50 is: 656,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,394 : 422,758.50 = 422,758.50 : x
  2. Step 2: Convert to fraction form
    272,394/422,758.50 = 422,758.50/x
  3. Step 3: Cross multiply
    272,394x = 422,758.50 × 422,758.50
  4. Step 4: Simplify right side
    272,394x = 178,724,749,322.25
  5. Step 5: Solve for x
    x = 178,724,749,322.25/272,394
  6. Step 6: Final answer
    x = 656,125.87

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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.