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Finding the Third Proportional to 297,555 and 446,982

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Solution

The third proportional to 297,555 and 446,982 is: 671,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,555 : 446,982 = 446,982 : x
  2. Step 2: Convert to fraction form
    297,555/446,982 = 446,982/x
  3. Step 3: Cross multiply
    297,555x = 446,982 × 446,982
  4. Step 4: Simplify right side
    297,555x = 199,792,908,324
  5. Step 5: Solve for x
    x = 199,792,908,324/297,555
  6. Step 6: Final answer
    x = 671,448.67

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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.