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Finding the Third Proportional to 730,174.50 and 1,089,181.69

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Solution

The third proportional to 730,174.50 and 1,089,181.69 is: 1,624,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,174.50 : 1,089,181.69 = 1,089,181.69 : x
  2. Step 2: Convert to fraction form
    730,174.50/1,089,181.69 = 1,089,181.69/x
  3. Step 3: Cross multiply
    730,174.50x = 1,089,181.69 × 1,089,181.69
  4. Step 4: Simplify right side
    730,174.50x = 1,186,316,748,385.35
  5. Step 5: Solve for x
    x = 1,186,316,748,385.35/730,174.50
  6. Step 6: Final answer
    x = 1,624,703.07

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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.