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Finding the Third Proportional to 289,174.50 and 613,341

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Solution

The third proportional to 289,174.50 and 613,341 is: 1,300,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,174.50 : 613,341 = 613,341 : x
  2. Step 2: Convert to fraction form
    289,174.50/613,341 = 613,341/x
  3. Step 3: Cross multiply
    289,174.50x = 613,341 × 613,341
  4. Step 4: Simplify right side
    289,174.50x = 376,187,182,281
  5. Step 5: Solve for x
    x = 376,187,182,281/289,174.50
  6. Step 6: Final answer
    x = 1,300,900.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.