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Finding the Third Proportional to 555,099.75 and 830,412

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Solution

The third proportional to 555,099.75 and 830,412 is: 1,242,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,099.75 : 830,412 = 830,412 : x
  2. Step 2: Convert to fraction form
    555,099.75/830,412 = 830,412/x
  3. Step 3: Cross multiply
    555,099.75x = 830,412 × 830,412
  4. Step 4: Simplify right side
    555,099.75x = 689,584,089,744
  5. Step 5: Solve for x
    x = 689,584,089,744/555,099.75
  6. Step 6: Final answer
    x = 1,242,270.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.