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Finding the Third Proportional to 413,241.75 and 638,563.50

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Solution

The third proportional to 413,241.75 and 638,563.50 is: 986,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.75 : 638,563.50 = 638,563.50 : x
  2. Step 2: Convert to fraction form
    413,241.75/638,563.50 = 638,563.50/x
  3. Step 3: Cross multiply
    413,241.75x = 638,563.50 × 638,563.50
  4. Step 4: Simplify right side
    413,241.75x = 407,763,343,532.25
  5. Step 5: Solve for x
    x = 407,763,343,532.25/413,241.75
  6. Step 6: Final answer
    x = 986,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.