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Finding the Third Proportional to 295,784.50 and 443,532.50

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Solution

The third proportional to 295,784.50 and 443,532.50 is: 665,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,784.50 : 443,532.50 = 443,532.50 : x
  2. Step 2: Convert to fraction form
    295,784.50/443,532.50 = 443,532.50/x
  3. Step 3: Cross multiply
    295,784.50x = 443,532.50 × 443,532.50
  4. Step 4: Simplify right side
    295,784.50x = 196,721,078,556.25
  5. Step 5: Solve for x
    x = 196,721,078,556.25/295,784.50
  6. Step 6: Final answer
    x = 665,082.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.