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Finding the Third Proportional to 289,693.13 and 443,156.06

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Solution

The third proportional to 289,693.13 and 443,156.06 is: 677,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,693.13 : 443,156.06 = 443,156.06 : x
  2. Step 2: Convert to fraction form
    289,693.13/443,156.06 = 443,156.06/x
  3. Step 3: Cross multiply
    289,693.13x = 443,156.06 × 443,156.06
  4. Step 4: Simplify right side
    289,693.13x = 196,387,295,730.50
  5. Step 5: Solve for x
    x = 196,387,295,730.50/289,693.13
  6. Step 6: Final answer
    x = 677,914.93

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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.