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Finding the Third Proportional to 303,651.75 and 432,558

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Solution

The third proportional to 303,651.75 and 432,558 is: 616,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,651.75 : 432,558 = 432,558 : x
  2. Step 2: Convert to fraction form
    303,651.75/432,558 = 432,558/x
  3. Step 3: Cross multiply
    303,651.75x = 432,558 × 432,558
  4. Step 4: Simplify right side
    303,651.75x = 187,106,423,364
  5. Step 5: Solve for x
    x = 187,106,423,364/303,651.75
  6. Step 6: Final answer
    x = 616,187.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.