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Finding the Third Proportional to 376,032 and 826,476

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Solution

The third proportional to 376,032 and 826,476 is: 1,816,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,032 : 826,476 = 826,476 : x
  2. Step 2: Convert to fraction form
    376,032/826,476 = 826,476/x
  3. Step 3: Cross multiply
    376,032x = 826,476 × 826,476
  4. Step 4: Simplify right side
    376,032x = 683,062,578,576
  5. Step 5: Solve for x
    x = 683,062,578,576/376,032
  6. Step 6: Final answer
    x = 1,816,501.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.