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Finding the Third Proportional to 289,245 and 443,707.50

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Solution

The third proportional to 289,245 and 443,707.50 is: 680,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,245 : 443,707.50 = 443,707.50 : x
  2. Step 2: Convert to fraction form
    289,245/443,707.50 = 443,707.50/x
  3. Step 3: Cross multiply
    289,245x = 443,707.50 × 443,707.50
  4. Step 4: Simplify right side
    289,245x = 196,876,345,556.25
  5. Step 5: Solve for x
    x = 196,876,345,556.25/289,245
  6. Step 6: Final answer
    x = 680,656.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.