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Finding the Third Proportional to 230,482 and 502,990

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Solution

The third proportional to 230,482 and 502,990 is: 1,097,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,482 : 502,990 = 502,990 : x
  2. Step 2: Convert to fraction form
    230,482/502,990 = 502,990/x
  3. Step 3: Cross multiply
    230,482x = 502,990 × 502,990
  4. Step 4: Simplify right side
    230,482x = 252,998,940,100
  5. Step 5: Solve for x
    x = 252,998,940,100/230,482
  6. Step 6: Final answer
    x = 1,097,695.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.