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Finding the Third Proportional to 523,745,203.50 and 787,804,440.75

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Solution

The third proportional to 523,745,203.50 and 787,804,440.75 is: 1,184,995,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,745,203.50 : 787,804,440.75 = 787,804,440.75 : x
  2. Step 2: Convert to fraction form
    523,745,203.50/787,804,440.75 = 787,804,440.75/x
  3. Step 3: Cross multiply
    523,745,203.50x = 787,804,440.75 × 787,804,440.75
  4. Step 4: Simplify right side
    523,745,203.50x = 620,635,836,865,420,288
  5. Step 5: Solve for x
    x = 620,635,836,865,420,288/523,745,203.50
  6. Step 6: Final answer
    x = 1,184,995,743.58

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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.