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Finding the Third Proportional to 273,543 and 439,506

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Solution

The third proportional to 273,543 and 439,506 is: 706,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,543 : 439,506 = 439,506 : x
  2. Step 2: Convert to fraction form
    273,543/439,506 = 439,506/x
  3. Step 3: Cross multiply
    273,543x = 439,506 × 439,506
  4. Step 4: Simplify right side
    273,543x = 193,165,524,036
  5. Step 5: Solve for x
    x = 193,165,524,036/273,543
  6. Step 6: Final answer
    x = 706,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.