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Finding the Third Proportional to 730,161 and 1,089,166.50

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Solution

The third proportional to 730,161 and 1,089,166.50 is: 1,624,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,161 : 1,089,166.50 = 1,089,166.50 : x
  2. Step 2: Convert to fraction form
    730,161/1,089,166.50 = 1,089,166.50/x
  3. Step 3: Cross multiply
    730,161x = 1,089,166.50 × 1,089,166.50
  4. Step 4: Simplify right side
    730,161x = 1,186,283,664,722.25
  5. Step 5: Solve for x
    x = 1,186,283,664,722.25/730,161
  6. Step 6: Final answer
    x = 1,624,687.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.