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Finding the Third Proportional to 376,556 and 587,064

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Solution

The third proportional to 376,556 and 587,064 is: 915,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,556 : 587,064 = 587,064 : x
  2. Step 2: Convert to fraction form
    376,556/587,064 = 587,064/x
  3. Step 3: Cross multiply
    376,556x = 587,064 × 587,064
  4. Step 4: Simplify right side
    376,556x = 344,644,140,096
  5. Step 5: Solve for x
    x = 344,644,140,096/376,556
  6. Step 6: Final answer
    x = 915,253.35

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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.