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Finding the Third Proportional to 288,259,140 and 446,722,668

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Solution

The third proportional to 288,259,140 and 446,722,668 is: 692,297,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,259,140 : 446,722,668 = 446,722,668 : x
  2. Step 2: Convert to fraction form
    288,259,140/446,722,668 = 446,722,668/x
  3. Step 3: Cross multiply
    288,259,140x = 446,722,668 × 446,722,668
  4. Step 4: Simplify right side
    288,259,140x = 199,561,142,105,038,208
  5. Step 5: Solve for x
    x = 199,561,142,105,038,208/288,259,140
  6. Step 6: Final answer
    x = 692,297,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.