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Finding the Third Proportional to 378,125 and 585,777

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Solution

The third proportional to 378,125 and 585,777 is: 907,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,125 : 585,777 = 585,777 : x
  2. Step 2: Convert to fraction form
    378,125/585,777 = 585,777/x
  3. Step 3: Cross multiply
    378,125x = 585,777 × 585,777
  4. Step 4: Simplify right side
    378,125x = 343,134,693,729
  5. Step 5: Solve for x
    x = 343,134,693,729/378,125
  6. Step 6: Final answer
    x = 907,463.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.