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Finding the Third Proportional to 213,904 and 433,000

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Solution

The third proportional to 213,904 and 433,000 is: 876,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904 : 433,000 = 433,000 : x
  2. Step 2: Convert to fraction form
    213,904/433,000 = 433,000/x
  3. Step 3: Cross multiply
    213,904x = 433,000 × 433,000
  4. Step 4: Simplify right side
    213,904x = 187,489,000,000
  5. Step 5: Solve for x
    x = 187,489,000,000/213,904
  6. Step 6: Final answer
    x = 876,510.02

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.