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Finding the Third Proportional to 295,741.13 and 443,113.03

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Solution

The third proportional to 295,741.13 and 443,113.03 is: 663,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,741.13 : 443,113.03 = 443,113.03 : x
  2. Step 2: Convert to fraction form
    295,741.13/443,113.03 = 443,113.03/x
  3. Step 3: Cross multiply
    295,741.13x = 443,113.03 × 443,113.03
  4. Step 4: Simplify right side
    295,741.13x = 196,349,158,463.56
  5. Step 5: Solve for x
    x = 196,349,158,463.56/295,741.13
  6. Step 6: Final answer
    x = 663,922.40

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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.