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Finding the Third Proportional to 415,259.50 and 624,119.50

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Solution

The third proportional to 415,259.50 and 624,119.50 is: 938,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,259.50 : 624,119.50 = 624,119.50 : x
  2. Step 2: Convert to fraction form
    415,259.50/624,119.50 = 624,119.50/x
  3. Step 3: Cross multiply
    415,259.50x = 624,119.50 × 624,119.50
  4. Step 4: Simplify right side
    415,259.50x = 389,525,150,280.25
  5. Step 5: Solve for x
    x = 389,525,150,280.25/415,259.50
  6. Step 6: Final answer
    x = 938,028.27

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Why These Related Problems?

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