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Finding the Third Proportional to 312,519 and 442,500

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Solution

The third proportional to 312,519 and 442,500 is: 626,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,519 : 442,500 = 442,500 : x
  2. Step 2: Convert to fraction form
    312,519/442,500 = 442,500/x
  3. Step 3: Cross multiply
    312,519x = 442,500 × 442,500
  4. Step 4: Simplify right side
    312,519x = 195,806,250,000
  5. Step 5: Solve for x
    x = 195,806,250,000/312,519
  6. Step 6: Final answer
    x = 626,541.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.