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Finding the Third Proportional to 347,584.50 and 761,589

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Solution

The third proportional to 347,584.50 and 761,589 is: 1,668,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,584.50 : 761,589 = 761,589 : x
  2. Step 2: Convert to fraction form
    347,584.50/761,589 = 761,589/x
  3. Step 3: Cross multiply
    347,584.50x = 761,589 × 761,589
  4. Step 4: Simplify right side
    347,584.50x = 580,017,804,921
  5. Step 5: Solve for x
    x = 580,017,804,921/347,584.50
  6. Step 6: Final answer
    x = 1,668,710.21

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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.