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Finding the Third Proportional to 352,279 and 545,590

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Solution

The third proportional to 352,279 and 545,590 is: 844,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,279 : 545,590 = 545,590 : x
  2. Step 2: Convert to fraction form
    352,279/545,590 = 545,590/x
  3. Step 3: Cross multiply
    352,279x = 545,590 × 545,590
  4. Step 4: Simplify right side
    352,279x = 297,668,448,100
  5. Step 5: Solve for x
    x = 297,668,448,100/352,279
  6. Step 6: Final answer
    x = 844,979.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.