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Finding the Third Proportional to 232,481 and 492,861

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Solution

The third proportional to 232,481 and 492,861 is: 1,044,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,481 : 492,861 = 492,861 : x
  2. Step 2: Convert to fraction form
    232,481/492,861 = 492,861/x
  3. Step 3: Cross multiply
    232,481x = 492,861 × 492,861
  4. Step 4: Simplify right side
    232,481x = 242,911,965,321
  5. Step 5: Solve for x
    x = 242,911,965,321/232,481
  6. Step 6: Final answer
    x = 1,044,868.03

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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.