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Finding the Third Proportional to 243,005.06 and 523,265.06

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Solution

The third proportional to 243,005.06 and 523,265.06 is: 1,126,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,005.06 : 523,265.06 = 523,265.06 : x
  2. Step 2: Convert to fraction form
    243,005.06/523,265.06 = 523,265.06/x
  3. Step 3: Cross multiply
    243,005.06x = 523,265.06 × 523,265.06
  4. Step 4: Simplify right side
    243,005.06x = 273,806,325,633.13
  5. Step 5: Solve for x
    x = 273,806,325,633.13/243,005.06
  6. Step 6: Final answer
    x = 1,126,751.53

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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.