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Finding the Third Proportional to 383,239,174.50 and 574,221,197.25

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Solution

The third proportional to 383,239,174.50 and 574,221,197.25 is: 860,376,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,239,174.50 : 574,221,197.25 = 574,221,197.25 : x
  2. Step 2: Convert to fraction form
    383,239,174.50/574,221,197.25 = 574,221,197.25/x
  3. Step 3: Cross multiply
    383,239,174.50x = 574,221,197.25 × 574,221,197.25
  4. Step 4: Simplify right side
    383,239,174.50x = 329,729,983,371,223,424
  5. Step 5: Solve for x
    x = 329,729,983,371,223,424/383,239,174.50
  6. Step 6: Final answer
    x = 860,376,509.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.