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Finding the Third Proportional to 350,359.50 and 768,543

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Solution

The third proportional to 350,359.50 and 768,543 is: 1,685,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,359.50 : 768,543 = 768,543 : x
  2. Step 2: Convert to fraction form
    350,359.50/768,543 = 768,543/x
  3. Step 3: Cross multiply
    350,359.50x = 768,543 × 768,543
  4. Step 4: Simplify right side
    350,359.50x = 590,658,342,849
  5. Step 5: Solve for x
    x = 590,658,342,849/350,359.50
  6. Step 6: Final answer
    x = 1,685,863.64

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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.