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Finding the Third Proportional to 275,416,633 and 604,939,761

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Solution

The third proportional to 275,416,633 and 604,939,761 is: 1,328,721,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,416,633 : 604,939,761 = 604,939,761 : x
  2. Step 2: Convert to fraction form
    275,416,633/604,939,761 = 604,939,761/x
  3. Step 3: Cross multiply
    275,416,633x = 604,939,761 × 604,939,761
  4. Step 4: Simplify right side
    275,416,633x = 365,952,114,438,737,152
  5. Step 5: Solve for x
    x = 365,952,114,438,737,152/275,416,633
  6. Step 6: Final answer
    x = 1,328,721,909.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.