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Finding the Third Proportional to 289,288.13 and 433,647

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Solution

The third proportional to 289,288.13 and 433,647 is: 650,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,288.13 : 433,647 = 433,647 : x
  2. Step 2: Convert to fraction form
    289,288.13/433,647 = 433,647/x
  3. Step 3: Cross multiply
    289,288.13x = 433,647 × 433,647
  4. Step 4: Simplify right side
    289,288.13x = 188,049,720,609
  5. Step 5: Solve for x
    x = 188,049,720,609/289,288.13
  6. Step 6: Final answer
    x = 650,043.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.