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Finding the Third Proportional to 230,520 and 503,070

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Solution

The third proportional to 230,520 and 503,070 is: 1,097,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,520 : 503,070 = 503,070 : x
  2. Step 2: Convert to fraction form
    230,520/503,070 = 503,070/x
  3. Step 3: Cross multiply
    230,520x = 503,070 × 503,070
  4. Step 4: Simplify right side
    230,520x = 253,079,424,900
  5. Step 5: Solve for x
    x = 253,079,424,900/230,520
  6. Step 6: Final answer
    x = 1,097,863.20

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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.