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Finding the Third Proportional to 350,745 and 546,651

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Solution

The third proportional to 350,745 and 546,651 is: 851,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,745 : 546,651 = 546,651 : x
  2. Step 2: Convert to fraction form
    350,745/546,651 = 546,651/x
  3. Step 3: Cross multiply
    350,745x = 546,651 × 546,651
  4. Step 4: Simplify right side
    350,745x = 298,827,315,801
  5. Step 5: Solve for x
    x = 298,827,315,801/350,745
  6. Step 6: Final answer
    x = 851,978.83

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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.