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Finding the Third Proportional to 533,706 and 811,557

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Solution

The third proportional to 533,706 and 811,557 is: 1,234,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,706 : 811,557 = 811,557 : x
  2. Step 2: Convert to fraction form
    533,706/811,557 = 811,557/x
  3. Step 3: Cross multiply
    533,706x = 811,557 × 811,557
  4. Step 4: Simplify right side
    533,706x = 658,624,764,249
  5. Step 5: Solve for x
    x = 658,624,764,249/533,706
  6. Step 6: Final answer
    x = 1,234,059.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.