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Finding the Third Proportional to 387,693 and 585,225

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Solution

The third proportional to 387,693 and 585,225 is: 883,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,693 : 585,225 = 585,225 : x
  2. Step 2: Convert to fraction form
    387,693/585,225 = 585,225/x
  3. Step 3: Cross multiply
    387,693x = 585,225 × 585,225
  4. Step 4: Simplify right side
    387,693x = 342,488,300,625
  5. Step 5: Solve for x
    x = 342,488,300,625/387,693
  6. Step 6: Final answer
    x = 883,400.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.