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Finding the Third Proportional to 384,000 and 574,464

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Solution

The third proportional to 384,000 and 574,464 is: 859,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000 : 574,464 = 574,464 : x
  2. Step 2: Convert to fraction form
    384,000/574,464 = 574,464/x
  3. Step 3: Cross multiply
    384,000x = 574,464 × 574,464
  4. Step 4: Simplify right side
    384,000x = 330,008,887,296
  5. Step 5: Solve for x
    x = 330,008,887,296/384,000
  6. Step 6: Final answer
    x = 859,398.14

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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.