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Finding the Third Proportional to 488,992.50 and 1,031,085

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Solution

The third proportional to 488,992.50 and 1,031,085 is: 2,174,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,992.50 : 1,031,085 = 1,031,085 : x
  2. Step 2: Convert to fraction form
    488,992.50/1,031,085 = 1,031,085/x
  3. Step 3: Cross multiply
    488,992.50x = 1,031,085 × 1,031,085
  4. Step 4: Simplify right side
    488,992.50x = 1,063,136,277,225
  5. Step 5: Solve for x
    x = 1,063,136,277,225/488,992.50
  6. Step 6: Final answer
    x = 2,174,136.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.