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Finding the Third Proportional to 369,153 and 543,361.50

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Solution

The third proportional to 369,153 and 543,361.50 is: 799,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,153 : 543,361.50 = 543,361.50 : x
  2. Step 2: Convert to fraction form
    369,153/543,361.50 = 543,361.50/x
  3. Step 3: Cross multiply
    369,153x = 543,361.50 × 543,361.50
  4. Step 4: Simplify right side
    369,153x = 295,241,719,682.25
  5. Step 5: Solve for x
    x = 295,241,719,682.25/369,153
  6. Step 6: Final answer
    x = 799,781.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.