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Finding the Third Proportional to 305,745 and 463,241.50

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Solution

The third proportional to 305,745 and 463,241.50 is: 701,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,745 : 463,241.50 = 463,241.50 : x
  2. Step 2: Convert to fraction form
    305,745/463,241.50 = 463,241.50/x
  3. Step 3: Cross multiply
    305,745x = 463,241.50 × 463,241.50
  4. Step 4: Simplify right side
    305,745x = 214,592,687,322.25
  5. Step 5: Solve for x
    x = 214,592,687,322.25/305,745
  6. Step 6: Final answer
    x = 701,868.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.