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Finding the Third Proportional to 376,008 and 575,928

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Solution

The third proportional to 376,008 and 575,928 is: 882,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,008 : 575,928 = 575,928 : x
  2. Step 2: Convert to fraction form
    376,008/575,928 = 575,928/x
  3. Step 3: Cross multiply
    376,008x = 575,928 × 575,928
  4. Step 4: Simplify right side
    376,008x = 331,693,061,184
  5. Step 5: Solve for x
    x = 331,693,061,184/376,008
  6. Step 6: Final answer
    x = 882,143.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.