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Finding the Third Proportional to 297,441 and 446,823.75

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Solution

The third proportional to 297,441 and 446,823.75 is: 671,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,441 : 446,823.75 = 446,823.75 : x
  2. Step 2: Convert to fraction form
    297,441/446,823.75 = 446,823.75/x
  3. Step 3: Cross multiply
    297,441x = 446,823.75 × 446,823.75
  4. Step 4: Simplify right side
    297,441x = 199,651,463,564.06
  5. Step 5: Solve for x
    x = 199,651,463,564.06/297,441
  6. Step 6: Final answer
    x = 671,230.47

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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.