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Finding the Third Proportional to 347,504 and 761,446

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Solution

The third proportional to 347,504 and 761,446 is: 1,668,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,504 : 761,446 = 761,446 : x
  2. Step 2: Convert to fraction form
    347,504/761,446 = 761,446/x
  3. Step 3: Cross multiply
    347,504x = 761,446 × 761,446
  4. Step 4: Simplify right side
    347,504x = 579,800,010,916
  5. Step 5: Solve for x
    x = 579,800,010,916/347,504
  6. Step 6: Final answer
    x = 1,668,470.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.