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Finding the Third Proportional to 295,744,200 and 659,489,424

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Solution

The third proportional to 295,744,200 and 659,489,424 is: 1,470,616,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744,200 : 659,489,424 = 659,489,424 : x
  2. Step 2: Convert to fraction form
    295,744,200/659,489,424 = 659,489,424/x
  3. Step 3: Cross multiply
    295,744,200x = 659,489,424 × 659,489,424
  4. Step 4: Simplify right side
    295,744,200x = 434,926,300,367,851,776
  5. Step 5: Solve for x
    x = 434,926,300,367,851,776/295,744,200
  6. Step 6: Final answer
    x = 1,470,616,500.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.