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Finding the Third Proportional to 230,479 and 502,984

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Solution

The third proportional to 230,479 and 502,984 is: 1,097,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,479 : 502,984 = 502,984 : x
  2. Step 2: Convert to fraction form
    230,479/502,984 = 502,984/x
  3. Step 3: Cross multiply
    230,479x = 502,984 × 502,984
  4. Step 4: Simplify right side
    230,479x = 252,992,904,256
  5. Step 5: Solve for x
    x = 252,992,904,256/230,479
  6. Step 6: Final answer
    x = 1,097,683.10

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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.