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Finding the Third Proportional to 298,984.50 and 436,965.75

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Solution

The third proportional to 298,984.50 and 436,965.75 is: 638,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984.50 : 436,965.75 = 436,965.75 : x
  2. Step 2: Convert to fraction form
    298,984.50/436,965.75 = 436,965.75/x
  3. Step 3: Cross multiply
    298,984.50x = 436,965.75 × 436,965.75
  4. Step 4: Simplify right side
    298,984.50x = 190,939,066,673.06
  5. Step 5: Solve for x
    x = 190,939,066,673.06/298,984.50
  6. Step 6: Final answer
    x = 638,625.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.