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Finding the Third Proportional to 533,718 and 835,569

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Solution

The third proportional to 533,718 and 835,569 is: 1,308,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,718 : 835,569 = 835,569 : x
  2. Step 2: Convert to fraction form
    533,718/835,569 = 835,569/x
  3. Step 3: Cross multiply
    533,718x = 835,569 × 835,569
  4. Step 4: Simplify right side
    533,718x = 698,175,553,761
  5. Step 5: Solve for x
    x = 698,175,553,761/533,718
  6. Step 6: Final answer
    x = 1,308,135.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.