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Finding the Third Proportional to 382,438.13 and 562,524.75

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Solution

The third proportional to 382,438.13 and 562,524.75 is: 827,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,438.13 : 562,524.75 = 562,524.75 : x
  2. Step 2: Convert to fraction form
    382,438.13/562,524.75 = 562,524.75/x
  3. Step 3: Cross multiply
    382,438.13x = 562,524.75 × 562,524.75
  4. Step 4: Simplify right side
    382,438.13x = 316,434,094,362.56
  5. Step 5: Solve for x
    x = 316,434,094,362.56/382,438.13
  6. Step 6: Final answer
    x = 827,412.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.