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Finding the Third Proportional to 350,694.56 and 546,567.75

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Solution

The third proportional to 350,694.56 and 546,567.75 is: 851,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,694.56 : 546,567.75 = 546,567.75 : x
  2. Step 2: Convert to fraction form
    350,694.56/546,567.75 = 546,567.75/x
  3. Step 3: Cross multiply
    350,694.56x = 546,567.75 × 546,567.75
  4. Step 4: Simplify right side
    350,694.56x = 298,736,305,340.06
  5. Step 5: Solve for x
    x = 298,736,305,340.06/350,694.56
  6. Step 6: Final answer
    x = 851,841.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.