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Finding the Third Proportional to 233,890.88 and 492,231.94

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Solution

The third proportional to 233,890.88 and 492,231.94 is: 1,035,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,890.88 : 492,231.94 = 492,231.94 : x
  2. Step 2: Convert to fraction form
    233,890.88/492,231.94 = 492,231.94/x
  3. Step 3: Cross multiply
    233,890.88x = 492,231.94 × 492,231.94
  4. Step 4: Simplify right side
    233,890.88x = 242,292,280,295.00
  5. Step 5: Solve for x
    x = 242,292,280,295.00/233,890.88
  6. Step 6: Final answer
    x = 1,035,920.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.