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Finding the Third Proportional to 301,824 and 423,000

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Solution

The third proportional to 301,824 and 423,000 is: 592,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824 : 423,000 = 423,000 : x
  2. Step 2: Convert to fraction form
    301,824/423,000 = 423,000/x
  3. Step 3: Cross multiply
    301,824x = 423,000 × 423,000
  4. Step 4: Simplify right side
    301,824x = 178,929,000,000
  5. Step 5: Solve for x
    x = 178,929,000,000/301,824
  6. Step 6: Final answer
    x = 592,825.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.