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Finding the Third Proportional to 297,455.50 and 446,841.50

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Solution

The third proportional to 297,455.50 and 446,841.50 is: 671,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,455.50 : 446,841.50 = 446,841.50 : x
  2. Step 2: Convert to fraction form
    297,455.50/446,841.50 = 446,841.50/x
  3. Step 3: Cross multiply
    297,455.50x = 446,841.50 × 446,841.50
  4. Step 4: Simplify right side
    297,455.50x = 199,667,326,122.25
  5. Step 5: Solve for x
    x = 199,667,326,122.25/297,455.50
  6. Step 6: Final answer
    x = 671,251.08

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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.