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Finding the Third Proportional to 376,083 and 587,007

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Solution

The third proportional to 376,083 and 587,007 is: 916,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,083 : 587,007 = 587,007 : x
  2. Step 2: Convert to fraction form
    376,083/587,007 = 587,007/x
  3. Step 3: Cross multiply
    376,083x = 587,007 × 587,007
  4. Step 4: Simplify right side
    376,083x = 344,577,218,049
  5. Step 5: Solve for x
    x = 344,577,218,049/376,083
  6. Step 6: Final answer
    x = 916,226.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.