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Finding the Third Proportional to 297,460 and 446,850

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Solution

The third proportional to 297,460 and 446,850 is: 671,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,460 : 446,850 = 446,850 : x
  2. Step 2: Convert to fraction form
    297,460/446,850 = 446,850/x
  3. Step 3: Cross multiply
    297,460x = 446,850 × 446,850
  4. Step 4: Simplify right side
    297,460x = 199,674,922,500
  5. Step 5: Solve for x
    x = 199,674,922,500/297,460
  6. Step 6: Final answer
    x = 671,266.46

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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.