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Finding the Third Proportional to 309,658.50 and 452,538

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Solution

The third proportional to 309,658.50 and 452,538 is: 661,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,658.50 : 452,538 = 452,538 : x
  2. Step 2: Convert to fraction form
    309,658.50/452,538 = 452,538/x
  3. Step 3: Cross multiply
    309,658.50x = 452,538 × 452,538
  4. Step 4: Simplify right side
    309,658.50x = 204,790,641,444
  5. Step 5: Solve for x
    x = 204,790,641,444/309,658.50
  6. Step 6: Final answer
    x = 661,343.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.