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Finding the Third Proportional to 232,390.69 and 492,682.50

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Solution

The third proportional to 232,390.69 and 492,682.50 is: 1,044,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,390.69 : 492,682.50 = 492,682.50 : x
  2. Step 2: Convert to fraction form
    232,390.69/492,682.50 = 492,682.50/x
  3. Step 3: Cross multiply
    232,390.69x = 492,682.50 × 492,682.50
  4. Step 4: Simplify right side
    232,390.69x = 242,736,045,806.25
  5. Step 5: Solve for x
    x = 242,736,045,806.25/232,390.69
  6. Step 6: Final answer
    x = 1,044,517.09

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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.