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Finding the Third Proportional to 304,148,934 and 624,421,718

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Solution

The third proportional to 304,148,934 and 624,421,718 is: 1,281,945,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,934 : 624,421,718 = 624,421,718 : x
  2. Step 2: Convert to fraction form
    304,148,934/624,421,718 = 624,421,718/x
  3. Step 3: Cross multiply
    304,148,934x = 624,421,718 × 624,421,718
  4. Step 4: Simplify right side
    304,148,934x = 389,902,481,910,071,552
  5. Step 5: Solve for x
    x = 389,902,481,910,071,552/304,148,934
  6. Step 6: Final answer
    x = 1,281,945,909.80

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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.