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Finding the Third Proportional to 230,556 and 488,472

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Solution

The third proportional to 230,556 and 488,472 is: 1,034,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,556 : 488,472 = 488,472 : x
  2. Step 2: Convert to fraction form
    230,556/488,472 = 488,472/x
  3. Step 3: Cross multiply
    230,556x = 488,472 × 488,472
  4. Step 4: Simplify right side
    230,556x = 238,604,894,784
  5. Step 5: Solve for x
    x = 238,604,894,784/230,556
  6. Step 6: Final answer
    x = 1,034,910.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.