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Finding the Third Proportional to 357,182 and 552,567

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Solution

The third proportional to 357,182 and 552,567 is: 854,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,182 : 552,567 = 552,567 : x
  2. Step 2: Convert to fraction form
    357,182/552,567 = 552,567/x
  3. Step 3: Cross multiply
    357,182x = 552,567 × 552,567
  4. Step 4: Simplify right side
    357,182x = 305,330,289,489
  5. Step 5: Solve for x
    x = 305,330,289,489/357,182
  6. Step 6: Final answer
    x = 854,831.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.