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Finding the Third Proportional to 395,922 and 537,909

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Solution

The third proportional to 395,922 and 537,909 is: 730,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,922 : 537,909 = 537,909 : x
  2. Step 2: Convert to fraction form
    395,922/537,909 = 537,909/x
  3. Step 3: Cross multiply
    395,922x = 537,909 × 537,909
  4. Step 4: Simplify right side
    395,922x = 289,346,092,281
  5. Step 5: Solve for x
    x = 289,346,092,281/395,922
  6. Step 6: Final answer
    x = 730,815.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.