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Finding the Third Proportional to 350,800 and 546,733

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Solution

The third proportional to 350,800 and 546,733 is: 852,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,800 : 546,733 = 546,733 : x
  2. Step 2: Convert to fraction form
    350,800/546,733 = 546,733/x
  3. Step 3: Cross multiply
    350,800x = 546,733 × 546,733
  4. Step 4: Simplify right side
    350,800x = 298,916,973,289
  5. Step 5: Solve for x
    x = 298,916,973,289/350,800
  6. Step 6: Final answer
    x = 852,100.84

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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.