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Finding the Third Proportional to 304,148,853 and 624,421,539.75

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Solution

The third proportional to 304,148,853 and 624,421,539.75 is: 1,281,945,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,853 : 624,421,539.75 = 624,421,539.75 : x
  2. Step 2: Convert to fraction form
    304,148,853/624,421,539.75 = 624,421,539.75/x
  3. Step 3: Cross multiply
    304,148,853x = 624,421,539.75 × 624,421,539.75
  4. Step 4: Simplify right side
    304,148,853x = 389,902,259,303,760,832
  5. Step 5: Solve for x
    x = 389,902,259,303,760,832/304,148,853
  6. Step 6: Final answer
    x = 1,281,945,519.30

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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.