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Finding the Third Proportional to 230,048 and 469,486

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Solution

The third proportional to 230,048 and 469,486 is: 958,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,048 : 469,486 = 469,486 : x
  2. Step 2: Convert to fraction form
    230,048/469,486 = 469,486/x
  3. Step 3: Cross multiply
    230,048x = 469,486 × 469,486
  4. Step 4: Simplify right side
    230,048x = 220,417,104,196
  5. Step 5: Solve for x
    x = 220,417,104,196/230,048
  6. Step 6: Final answer
    x = 958,135.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.