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Finding the Third Proportional to 323,992.13 and 436,156.50

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Solution

The third proportional to 323,992.13 and 436,156.50 is: 587,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,992.13 : 436,156.50 = 436,156.50 : x
  2. Step 2: Convert to fraction form
    323,992.13/436,156.50 = 436,156.50/x
  3. Step 3: Cross multiply
    323,992.13x = 436,156.50 × 436,156.50
  4. Step 4: Simplify right side
    323,992.13x = 190,232,492,492.25
  5. Step 5: Solve for x
    x = 190,232,492,492.25/323,992.13
  6. Step 6: Final answer
    x = 587,151.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.