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Finding the Third Proportional to 383,904 and 575,928

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Solution

The third proportional to 383,904 and 575,928 is: 864,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,904 : 575,928 = 575,928 : x
  2. Step 2: Convert to fraction form
    383,904/575,928 = 575,928/x
  3. Step 3: Cross multiply
    383,904x = 575,928 × 575,928
  4. Step 4: Simplify right side
    383,904x = 331,693,061,184
  5. Step 5: Solve for x
    x = 331,693,061,184/383,904
  6. Step 6: Final answer
    x = 864,000.01

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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.