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Finding the Third Proportional to 292,089,584.25 and 417,660,975

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Solution

The third proportional to 292,089,584.25 and 417,660,975 is: 597,216,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,089,584.25 : 417,660,975 = 417,660,975 : x
  2. Step 2: Convert to fraction form
    292,089,584.25/417,660,975 = 417,660,975/x
  3. Step 3: Cross multiply
    292,089,584.25x = 417,660,975 × 417,660,975
  4. Step 4: Simplify right side
    292,089,584.25x = 174,440,690,037,950,624
  5. Step 5: Solve for x
    x = 174,440,690,037,950,624/292,089,584.25
  6. Step 6: Final answer
    x = 597,216,400.19

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Why These Related Problems?

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