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Finding the Third Proportional to 295,784 and 443,532

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Solution

The third proportional to 295,784 and 443,532 is: 665,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,784 : 443,532 = 443,532 : x
  2. Step 2: Convert to fraction form
    295,784/443,532 = 443,532/x
  3. Step 3: Cross multiply
    295,784x = 443,532 × 443,532
  4. Step 4: Simplify right side
    295,784x = 196,720,635,024
  5. Step 5: Solve for x
    x = 196,720,635,024/295,784
  6. Step 6: Final answer
    x = 665,082.07

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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.