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Finding the Third Proportional to 325,066.22 and 431,325.84

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Solution

The third proportional to 325,066.22 and 431,325.84 is: 572,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,066.22 : 431,325.84 = 431,325.84 : x
  2. Step 2: Convert to fraction form
    325,066.22/431,325.84 = 431,325.84/x
  3. Step 3: Cross multiply
    325,066.22x = 431,325.84 × 431,325.84
  4. Step 4: Simplify right side
    325,066.22x = 186,041,983,486.65
  5. Step 5: Solve for x
    x = 186,041,983,486.65/325,066.22
  6. Step 6: Final answer
    x = 572,320.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.