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Finding the Third Proportional to 304,148,932 and 624,421,714

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Solution

The third proportional to 304,148,932 and 624,421,714 is: 1,281,945,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,932 : 624,421,714 = 624,421,714 : x
  2. Step 2: Convert to fraction form
    304,148,932/624,421,714 = 624,421,714/x
  3. Step 3: Cross multiply
    304,148,932x = 624,421,714 × 624,421,714
  4. Step 4: Simplify right side
    304,148,932x = 389,902,476,914,697,792
  5. Step 5: Solve for x
    x = 389,902,476,914,697,792/304,148,932
  6. Step 6: Final answer
    x = 1,281,945,901.80

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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.