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Finding the Third Proportional to 304,225,813 and 664,200,361

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Solution

The third proportional to 304,225,813 and 664,200,361 is: 1,450,114,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,225,813 : 664,200,361 = 664,200,361 : x
  2. Step 2: Convert to fraction form
    304,225,813/664,200,361 = 664,200,361/x
  3. Step 3: Cross multiply
    304,225,813x = 664,200,361 × 664,200,361
  4. Step 4: Simplify right side
    304,225,813x = 441,162,119,552,530,304
  5. Step 5: Solve for x
    x = 441,162,119,552,530,304/304,225,813
  6. Step 6: Final answer
    x = 1,450,114,029.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.