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Finding the Third Proportional to 297,606 and 447,088

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Solution

The third proportional to 297,606 and 447,088 is: 671,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,606 : 447,088 = 447,088 : x
  2. Step 2: Convert to fraction form
    297,606/447,088 = 447,088/x
  3. Step 3: Cross multiply
    297,606x = 447,088 × 447,088
  4. Step 4: Simplify right side
    297,606x = 199,887,679,744
  5. Step 5: Solve for x
    x = 199,887,679,744/297,606
  6. Step 6: Final answer
    x = 671,652.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.