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Finding the Third Proportional to 230,637.38 and 505,688.06

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Solution

The third proportional to 230,637.38 and 505,688.06 is: 1,108,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,637.38 : 505,688.06 = 505,688.06 : x
  2. Step 2: Convert to fraction form
    230,637.38/505,688.06 = 505,688.06/x
  3. Step 3: Cross multiply
    230,637.38x = 505,688.06 × 505,688.06
  4. Step 4: Simplify right side
    230,637.38x = 255,720,416,555.00
  5. Step 5: Solve for x
    x = 255,720,416,555.00/230,637.38
  6. Step 6: Final answer
    x = 1,108,755.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.