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Finding the Third Proportional to 230,948 and 480,040

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Solution

The third proportional to 230,948 and 480,040 is: 997,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,948 : 480,040 = 480,040 : x
  2. Step 2: Convert to fraction form
    230,948/480,040 = 480,040/x
  3. Step 3: Cross multiply
    230,948x = 480,040 × 480,040
  4. Step 4: Simplify right side
    230,948x = 230,438,401,600
  5. Step 5: Solve for x
    x = 230,438,401,600/230,948
  6. Step 6: Final answer
    x = 997,793.45

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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.