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Finding the Third Proportional to 386,523 and 578,005

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Solution

The third proportional to 386,523 and 578,005 is: 864,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,523 : 578,005 = 578,005 : x
  2. Step 2: Convert to fraction form
    386,523/578,005 = 578,005/x
  3. Step 3: Cross multiply
    386,523x = 578,005 × 578,005
  4. Step 4: Simplify right side
    386,523x = 334,089,780,025
  5. Step 5: Solve for x
    x = 334,089,780,025/386,523
  6. Step 6: Final answer
    x = 864,346.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.