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Finding the Third Proportional to 230,946 and 480,030

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Solution

The third proportional to 230,946 and 480,030 is: 997,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,946 : 480,030 = 480,030 : x
  2. Step 2: Convert to fraction form
    230,946/480,030 = 480,030/x
  3. Step 3: Cross multiply
    230,946x = 480,030 × 480,030
  4. Step 4: Simplify right side
    230,946x = 230,428,800,900
  5. Step 5: Solve for x
    x = 230,428,800,900/230,946
  6. Step 6: Final answer
    x = 997,760.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.