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Finding the Third Proportional to 304,148,929.50 and 624,421,710

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Solution

The third proportional to 304,148,929.50 and 624,421,710 is: 1,281,945,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,929.50 : 624,421,710 = 624,421,710 : x
  2. Step 2: Convert to fraction form
    304,148,929.50/624,421,710 = 624,421,710/x
  3. Step 3: Cross multiply
    304,148,929.50x = 624,421,710 × 624,421,710
  4. Step 4: Simplify right side
    304,148,929.50x = 389,902,471,919,324,096
  5. Step 5: Solve for x
    x = 389,902,471,919,324,096/304,148,929.50
  6. Step 6: Final answer
    x = 1,281,945,895.91

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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.