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Finding the Third Proportional to 533,700 and 811,548

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Solution

The third proportional to 533,700 and 811,548 is: 1,234,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,700 : 811,548 = 811,548 : x
  2. Step 2: Convert to fraction form
    533,700/811,548 = 811,548/x
  3. Step 3: Cross multiply
    533,700x = 811,548 × 811,548
  4. Step 4: Simplify right side
    533,700x = 658,610,156,304
  5. Step 5: Solve for x
    x = 658,610,156,304/533,700
  6. Step 6: Final answer
    x = 1,234,045.64

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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.