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Finding the Third Proportional to 533,709 and 825,498

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Solution

The third proportional to 533,709 and 825,498 is: 1,276,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,709 : 825,498 = 825,498 : x
  2. Step 2: Convert to fraction form
    533,709/825,498 = 825,498/x
  3. Step 3: Cross multiply
    533,709x = 825,498 × 825,498
  4. Step 4: Simplify right side
    533,709x = 681,446,948,004
  5. Step 5: Solve for x
    x = 681,446,948,004/533,709
  6. Step 6: Final answer
    x = 1,276,813.67

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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.