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Finding the Third Proportional to 431,956.13 and 595,441.13

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Solution

The third proportional to 431,956.13 and 595,441.13 is: 820,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,956.13 : 595,441.13 = 595,441.13 : x
  2. Step 2: Convert to fraction form
    431,956.13/595,441.13 = 595,441.13/x
  3. Step 3: Cross multiply
    431,956.13x = 595,441.13 × 595,441.13
  4. Step 4: Simplify right side
    431,956.13x = 354,550,133,341.27
  5. Step 5: Solve for x
    x = 354,550,133,341.27/431,956.13
  6. Step 6: Final answer
    x = 820,801.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.