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Finding the Third Proportional to 200,748.38 and 430,474.50

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Solution

The third proportional to 200,748.38 and 430,474.50 is: 923,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.38 : 430,474.50 = 430,474.50 : x
  2. Step 2: Convert to fraction form
    200,748.38/430,474.50 = 430,474.50/x
  3. Step 3: Cross multiply
    200,748.38x = 430,474.50 × 430,474.50
  4. Step 4: Simplify right side
    200,748.38x = 185,308,295,150.25
  5. Step 5: Solve for x
    x = 185,308,295,150.25/200,748.38
  6. Step 6: Final answer
    x = 923,087.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.