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Finding the Third Proportional to 373,174 and 559,172

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Solution

The third proportional to 373,174 and 559,172 is: 837,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,174 : 559,172 = 559,172 : x
  2. Step 2: Convert to fraction form
    373,174/559,172 = 559,172/x
  3. Step 3: Cross multiply
    373,174x = 559,172 × 559,172
  4. Step 4: Simplify right side
    373,174x = 312,673,325,584
  5. Step 5: Solve for x
    x = 312,673,325,584/373,174
  6. Step 6: Final answer
    x = 837,875.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.