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Finding the Third Proportional to 274,364 and 391,588

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Solution

The third proportional to 274,364 and 391,588 is: 558,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,364 : 391,588 = 391,588 : x
  2. Step 2: Convert to fraction form
    274,364/391,588 = 391,588/x
  3. Step 3: Cross multiply
    274,364x = 391,588 × 391,588
  4. Step 4: Simplify right side
    274,364x = 153,341,161,744
  5. Step 5: Solve for x
    x = 153,341,161,744/274,364
  6. Step 6: Final answer
    x = 558,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.