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Finding the Third Proportional to 533,717 and 811,574

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Solution

The third proportional to 533,717 and 811,574 is: 1,234,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,717 : 811,574 = 811,574 : x
  2. Step 2: Convert to fraction form
    533,717/811,574 = 811,574/x
  3. Step 3: Cross multiply
    533,717x = 811,574 × 811,574
  4. Step 4: Simplify right side
    533,717x = 658,652,357,476
  5. Step 5: Solve for x
    x = 658,652,357,476/533,717
  6. Step 6: Final answer
    x = 1,234,085.40

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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.