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Finding the Third Proportional to 409,123,610.25 and 623,899,969.50

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Solution

The third proportional to 409,123,610.25 and 623,899,969.50 is: 951,426,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,123,610.25 : 623,899,969.50 = 623,899,969.50 : x
  2. Step 2: Convert to fraction form
    409,123,610.25/623,899,969.50 = 623,899,969.50/x
  3. Step 3: Cross multiply
    409,123,610.25x = 623,899,969.50 × 623,899,969.50
  4. Step 4: Simplify right side
    409,123,610.25x = 389,251,171,942,100,928
  5. Step 5: Solve for x
    x = 389,251,171,942,100,928/409,123,610.25
  6. Step 6: Final answer
    x = 951,426,811.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.