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Finding the Third Proportional to 297,454 and 446,840

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Solution

The third proportional to 297,454 and 446,840 is: 671,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,454 : 446,840 = 446,840 : x
  2. Step 2: Convert to fraction form
    297,454/446,840 = 446,840/x
  3. Step 3: Cross multiply
    297,454x = 446,840 × 446,840
  4. Step 4: Simplify right side
    297,454x = 199,665,985,600
  5. Step 5: Solve for x
    x = 199,665,985,600/297,454
  6. Step 6: Final answer
    x = 671,249.96

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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.