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Finding the Third Proportional to 304,149,339 and 624,422,403

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Solution

The third proportional to 304,149,339 and 624,422,403 is: 1,281,947,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,149,339 : 624,422,403 = 624,422,403 : x
  2. Step 2: Convert to fraction form
    304,149,339/624,422,403 = 624,422,403/x
  3. Step 3: Cross multiply
    304,149,339x = 624,422,403 × 624,422,403
  4. Step 4: Simplify right side
    304,149,339x = 389,903,337,368,294,400
  5. Step 5: Solve for x
    x = 389,903,337,368,294,400/304,149,339
  6. Step 6: Final answer
    x = 1,281,947,015.40

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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.