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Finding the Third Proportional to 395,849.25 and 847,746

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Solution

The third proportional to 395,849.25 and 847,746 is: 1,815,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,849.25 : 847,746 = 847,746 : x
  2. Step 2: Convert to fraction form
    395,849.25/847,746 = 847,746/x
  3. Step 3: Cross multiply
    395,849.25x = 847,746 × 847,746
  4. Step 4: Simplify right side
    395,849.25x = 718,673,280,516
  5. Step 5: Solve for x
    x = 718,673,280,516/395,849.25
  6. Step 6: Final answer
    x = 1,815,522.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.