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Finding the Third Proportional to 292,089,588 and 417,660,980

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Solution

The third proportional to 292,089,588 and 417,660,980 is: 597,216,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,089,588 : 417,660,980 = 417,660,980 : x
  2. Step 2: Convert to fraction form
    292,089,588/417,660,980 = 417,660,980/x
  3. Step 3: Cross multiply
    292,089,588x = 417,660,980 × 417,660,980
  4. Step 4: Simplify right side
    292,089,588x = 174,440,694,214,560,384
  5. Step 5: Solve for x
    x = 174,440,694,214,560,384/292,089,588
  6. Step 6: Final answer
    x = 597,216,406.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.