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Finding the Third Proportional to 486,336 and 727,558

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Solution

The third proportional to 486,336 and 727,558 is: 1,088,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,336 : 727,558 = 727,558 : x
  2. Step 2: Convert to fraction form
    486,336/727,558 = 727,558/x
  3. Step 3: Cross multiply
    486,336x = 727,558 × 727,558
  4. Step 4: Simplify right side
    486,336x = 529,340,643,364
  5. Step 5: Solve for x
    x = 529,340,643,364/486,336
  6. Step 6: Final answer
    x = 1,088,425.79

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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.