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Finding the Third Proportional to 356,962 and 574,035

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Solution

The third proportional to 356,962 and 574,035 is: 923,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,962 : 574,035 = 574,035 : x
  2. Step 2: Convert to fraction form
    356,962/574,035 = 574,035/x
  3. Step 3: Cross multiply
    356,962x = 574,035 × 574,035
  4. Step 4: Simplify right side
    356,962x = 329,516,181,225
  5. Step 5: Solve for x
    x = 329,516,181,225/356,962
  6. Step 6: Final answer
    x = 923,112.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.