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Finding the Third Proportional to 366,882 and 523,431

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Solution

The third proportional to 366,882 and 523,431 is: 746,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,882 : 523,431 = 523,431 : x
  2. Step 2: Convert to fraction form
    366,882/523,431 = 523,431/x
  3. Step 3: Cross multiply
    366,882x = 523,431 × 523,431
  4. Step 4: Simplify right side
    366,882x = 273,980,011,761
  5. Step 5: Solve for x
    x = 273,980,011,761/366,882
  6. Step 6: Final answer
    x = 746,779.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.