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Finding the Third Proportional to 405,114.75 and 883,125

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Solution

The third proportional to 405,114.75 and 883,125 is: 1,925,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,114.75 : 883,125 = 883,125 : x
  2. Step 2: Convert to fraction form
    405,114.75/883,125 = 883,125/x
  3. Step 3: Cross multiply
    405,114.75x = 883,125 × 883,125
  4. Step 4: Simplify right side
    405,114.75x = 779,909,765,625
  5. Step 5: Solve for x
    x = 779,909,765,625/405,114.75
  6. Step 6: Final answer
    x = 1,925,157.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.