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Finding the Third Proportional to 243,837.09 and 523,626.38

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Solution

The third proportional to 243,837.09 and 523,626.38 is: 1,124,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,837.09 : 523,626.38 = 523,626.38 : x
  2. Step 2: Convert to fraction form
    243,837.09/523,626.38 = 523,626.38/x
  3. Step 3: Cross multiply
    243,837.09x = 523,626.38 × 523,626.38
  4. Step 4: Simplify right side
    243,837.09x = 274,184,580,595.64
  5. Step 5: Solve for x
    x = 274,184,580,595.64/243,837.09
  6. Step 6: Final answer
    x = 1,124,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.