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Finding the Third Proportional to 395,309 and 869,341

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Solution

The third proportional to 395,309 and 869,341 is: 1,911,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,309 : 869,341 = 869,341 : x
  2. Step 2: Convert to fraction form
    395,309/869,341 = 869,341/x
  3. Step 3: Cross multiply
    395,309x = 869,341 × 869,341
  4. Step 4: Simplify right side
    395,309x = 755,753,774,281
  5. Step 5: Solve for x
    x = 755,753,774,281/395,309
  6. Step 6: Final answer
    x = 1,911,805.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.