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Finding the Third Proportional to 297,612 and 447,095

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Solution

The third proportional to 297,612 and 447,095 is: 671,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,612 : 447,095 = 447,095 : x
  2. Step 2: Convert to fraction form
    297,612/447,095 = 447,095/x
  3. Step 3: Cross multiply
    297,612x = 447,095 × 447,095
  4. Step 4: Simplify right side
    297,612x = 199,893,939,025
  5. Step 5: Solve for x
    x = 199,893,939,025/297,612
  6. Step 6: Final answer
    x = 671,659.54

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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.