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Finding the Third Proportional to 302,272 and 662,000

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Solution

The third proportional to 302,272 and 662,000 is: 1,449,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,272 : 662,000 = 662,000 : x
  2. Step 2: Convert to fraction form
    302,272/662,000 = 662,000/x
  3. Step 3: Cross multiply
    302,272x = 662,000 × 662,000
  4. Step 4: Simplify right side
    302,272x = 438,244,000,000
  5. Step 5: Solve for x
    x = 438,244,000,000/302,272
  6. Step 6: Final answer
    x = 1,449,833.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.