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Finding the Third Proportional to 383,116,288 and 584,239,968

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Solution

The third proportional to 383,116,288 and 584,239,968 is: 890,947,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,116,288 : 584,239,968 = 584,239,968 : x
  2. Step 2: Convert to fraction form
    383,116,288/584,239,968 = 584,239,968/x
  3. Step 3: Cross multiply
    383,116,288x = 584,239,968 × 584,239,968
  4. Step 4: Simplify right side
    383,116,288x = 341,336,340,208,641,024
  5. Step 5: Solve for x
    x = 341,336,340,208,641,024/383,116,288
  6. Step 6: Final answer
    x = 890,947,085.52

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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.