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Finding the Third Proportional to 400,025,101.50 and 601,102,660.50

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Solution

The third proportional to 400,025,101.50 and 601,102,660.50 is: 903,254,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,025,101.50 : 601,102,660.50 = 601,102,660.50 : x
  2. Step 2: Convert to fraction form
    400,025,101.50/601,102,660.50 = 601,102,660.50/x
  3. Step 3: Cross multiply
    400,025,101.50x = 601,102,660.50 × 601,102,660.50
  4. Step 4: Simplify right side
    400,025,101.50x = 361,324,408,460,178,240
  5. Step 5: Solve for x
    x = 361,324,408,460,178,240/400,025,101.50
  6. Step 6: Final answer
    x = 903,254,338.55

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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.