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Finding the Third Proportional to 297,614.25 and 456,035.06

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Solution

The third proportional to 297,614.25 and 456,035.06 is: 698,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,614.25 : 456,035.06 = 456,035.06 : x
  2. Step 2: Convert to fraction form
    297,614.25/456,035.06 = 456,035.06/x
  3. Step 3: Cross multiply
    297,614.25x = 456,035.06 × 456,035.06
  4. Step 4: Simplify right side
    297,614.25x = 207,967,978,229.38
  5. Step 5: Solve for x
    x = 207,967,978,229.38/297,614.25
  6. Step 6: Final answer
    x = 698,783.67

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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.