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Finding the Third Proportional to 230,426 and 479,245.50

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Solution

The third proportional to 230,426 and 479,245.50 is: 996,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,426 : 479,245.50 = 479,245.50 : x
  2. Step 2: Convert to fraction form
    230,426/479,245.50 = 479,245.50/x
  3. Step 3: Cross multiply
    230,426x = 479,245.50 × 479,245.50
  4. Step 4: Simplify right side
    230,426x = 229,676,249,270.25
  5. Step 5: Solve for x
    x = 229,676,249,270.25/230,426
  6. Step 6: Final answer
    x = 996,746.24

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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.