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Finding the Third Proportional to 341,196 and 522,225

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Solution

The third proportional to 341,196 and 522,225 is: 799,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,196 : 522,225 = 522,225 : x
  2. Step 2: Convert to fraction form
    341,196/522,225 = 522,225/x
  3. Step 3: Cross multiply
    341,196x = 522,225 × 522,225
  4. Step 4: Simplify right side
    341,196x = 272,718,950,625
  5. Step 5: Solve for x
    x = 272,718,950,625/341,196
  6. Step 6: Final answer
    x = 799,302.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.