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Finding the Third Proportional to 533,562 and 813,894

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Solution

The third proportional to 533,562 and 813,894 is: 1,241,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,562 : 813,894 = 813,894 : x
  2. Step 2: Convert to fraction form
    533,562/813,894 = 813,894/x
  3. Step 3: Cross multiply
    533,562x = 813,894 × 813,894
  4. Step 4: Simplify right side
    533,562x = 662,423,443,236
  5. Step 5: Solve for x
    x = 662,423,443,236/533,562
  6. Step 6: Final answer
    x = 1,241,511.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.