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Finding the Third Proportional to 260,960,064 and 414,583,008

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Solution

The third proportional to 260,960,064 and 414,583,008 is: 658,641,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,960,064 : 414,583,008 = 414,583,008 : x
  2. Step 2: Convert to fraction form
    260,960,064/414,583,008 = 414,583,008/x
  3. Step 3: Cross multiply
    260,960,064x = 414,583,008 × 414,583,008
  4. Step 4: Simplify right side
    260,960,064x = 171,879,070,522,328,064
  5. Step 5: Solve for x
    x = 171,879,070,522,328,064/260,960,064
  6. Step 6: Final answer
    x = 658,641,279.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.