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Finding the Third Proportional to 284,818,032 and 584,735,104

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Solution

The third proportional to 284,818,032 and 584,735,104 is: 1,200,468,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,818,032 : 584,735,104 = 584,735,104 : x
  2. Step 2: Convert to fraction form
    284,818,032/584,735,104 = 584,735,104/x
  3. Step 3: Cross multiply
    284,818,032x = 584,735,104 × 584,735,104
  4. Step 4: Simplify right side
    284,818,032x = 341,915,141,849,890,816
  5. Step 5: Solve for x
    x = 341,915,141,849,890,816/284,818,032
  6. Step 6: Final answer
    x = 1,200,468,732.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.