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Finding the Third Proportional to 398,116,984.50 and 597,175,552.69

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Solution

The third proportional to 398,116,984.50 and 597,175,552.69 is: 895,763,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116,984.50 : 597,175,552.69 = 597,175,552.69 : x
  2. Step 2: Convert to fraction form
    398,116,984.50/597,175,552.69 = 597,175,552.69/x
  3. Step 3: Cross multiply
    398,116,984.50x = 597,175,552.69 × 597,175,552.69
  4. Step 4: Simplify right side
    398,116,984.50x = 356,618,640,727,621,120
  5. Step 5: Solve for x
    x = 356,618,640,727,621,120/398,116,984.50
  6. Step 6: Final answer
    x = 895,763,442.94

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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.