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Finding the Third Proportional to 397,909 and 585,118.50

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Solution

The third proportional to 397,909 and 585,118.50 is: 860,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,909 : 585,118.50 = 585,118.50 : x
  2. Step 2: Convert to fraction form
    397,909/585,118.50 = 585,118.50/x
  3. Step 3: Cross multiply
    397,909x = 585,118.50 × 585,118.50
  4. Step 4: Simplify right side
    397,909x = 342,363,659,042.25
  5. Step 5: Solve for x
    x = 342,363,659,042.25/397,909
  6. Step 6: Final answer
    x = 860,406.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.