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Finding the Third Proportional to 400,025,203.50 and 601,102,806.75

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Solution

The third proportional to 400,025,203.50 and 601,102,806.75 is: 903,254,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,025,203.50 : 601,102,806.75 = 601,102,806.75 : x
  2. Step 2: Convert to fraction form
    400,025,203.50/601,102,806.75 = 601,102,806.75/x
  3. Step 3: Cross multiply
    400,025,203.50x = 601,102,806.75 × 601,102,806.75
  4. Step 4: Simplify right side
    400,025,203.50x = 361,324,584,282,727,872
  5. Step 5: Solve for x
    x = 361,324,584,282,727,872/400,025,203.50
  6. Step 6: Final answer
    x = 903,254,547.77

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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.