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Finding the Third Proportional to 304,148,931.75 and 624,421,713

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Solution

The third proportional to 304,148,931.75 and 624,421,713 is: 1,281,945,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,931.75 : 624,421,713 = 624,421,713 : x
  2. Step 2: Convert to fraction form
    304,148,931.75/624,421,713 = 624,421,713/x
  3. Step 3: Cross multiply
    304,148,931.75x = 624,421,713 × 624,421,713
  4. Step 4: Simplify right side
    304,148,931.75x = 389,902,475,665,854,400
  5. Step 5: Solve for x
    x = 389,902,475,665,854,400/304,148,931.75
  6. Step 6: Final answer
    x = 1,281,945,898.75

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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.