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Finding the Third Proportional to 232,387.73 and 492,674.91

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Solution

The third proportional to 232,387.73 and 492,674.91 is: 1,044,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,387.73 : 492,674.91 = 492,674.91 : x
  2. Step 2: Convert to fraction form
    232,387.73/492,674.91 = 492,674.91/x
  3. Step 3: Cross multiply
    232,387.73x = 492,674.91 × 492,674.91
  4. Step 4: Simplify right side
    232,387.73x = 242,728,563,248.45
  5. Step 5: Solve for x
    x = 242,728,563,248.45/232,387.73
  6. Step 6: Final answer
    x = 1,044,498.17

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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.